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Finding the Fourth Proportional to 2,098.65, 3,147.97 and 638.22

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Solution

The fourth proportional to 2,098.65, 3,147.97 and 638.22 is: 957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.65 : 3,147.97 = 638.22 : x
  2. Step 2: Convert to fraction form
    2,098.65/3,147.97 = 638.22/x
  3. Step 3: Cross multiply
    2,098.65x = 3,147.97 × 638.22
  4. Step 4: Simplify right side
    2,098.65x = 2,009,094.22
  5. Step 5: Solve for x
    x = 2,009,094.22/2,098.65
  6. Step 6: Final answer
    x = 957.33

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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.