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Finding the Fourth Proportional to 2,632.01, 3,948.03 and 684.23

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Solution

The fourth proportional to 2,632.01, 3,948.03 and 684.23 is: 1,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.01 : 3,948.03 = 684.23 : x
  2. Step 2: Convert to fraction form
    2,632.01/3,948.03 = 684.23/x
  3. Step 3: Cross multiply
    2,632.01x = 3,948.03 × 684.23
  4. Step 4: Simplify right side
    2,632.01x = 2,701,360.57
  5. Step 5: Solve for x
    x = 2,701,360.57/2,632.01
  6. Step 6: Final answer
    x = 1,026.35

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.