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Finding the Fourth Proportional to 2,145.48, 3,217.56 and 684.24

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Solution

The fourth proportional to 2,145.48, 3,217.56 and 684.24 is: 1,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.48 : 3,217.56 = 684.24 : x
  2. Step 2: Convert to fraction form
    2,145.48/3,217.56 = 684.24/x
  3. Step 3: Cross multiply
    2,145.48x = 3,217.56 × 684.24
  4. Step 4: Simplify right side
    2,145.48x = 2,201,583.25
  5. Step 5: Solve for x
    x = 2,201,583.25/2,145.48
  6. Step 6: Final answer
    x = 1,026.15

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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.