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Finding the Fourth Proportional to 2,898.47, 4,331.15 and 1,966.26

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Solution

The fourth proportional to 2,898.47, 4,331.15 and 1,966.26 is: 2,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.47 : 4,331.15 = 1,966.26 : x
  2. Step 2: Convert to fraction form
    2,898.47/4,331.15 = 1,966.26/x
  3. Step 3: Cross multiply
    2,898.47x = 4,331.15 × 1,966.26
  4. Step 4: Simplify right side
    2,898.47x = 8,516,167.00
  5. Step 5: Solve for x
    x = 8,516,167.00/2,898.47
  6. Step 6: Final answer
    x = 2,938.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.