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Finding the Fourth Proportional to 1,609.71, 2,407.89 and 1,511.30

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Solution

The fourth proportional to 1,609.71, 2,407.89 and 1,511.30 is: 2,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.71 : 2,407.89 = 1,511.30 : x
  2. Step 2: Convert to fraction form
    1,609.71/2,407.89 = 1,511.30/x
  3. Step 3: Cross multiply
    1,609.71x = 2,407.89 × 1,511.30
  4. Step 4: Simplify right side
    1,609.71x = 3,639,032.12
  5. Step 5: Solve for x
    x = 3,639,032.12/1,609.71
  6. Step 6: Final answer
    x = 2,260.68

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