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Finding the Fourth Proportional to 2,874.71, 4,308.89 and 1,639.40

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Solution

The fourth proportional to 2,874.71, 4,308.89 and 1,639.40 is: 2,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.71 : 4,308.89 = 1,639.40 : x
  2. Step 2: Convert to fraction form
    2,874.71/4,308.89 = 1,639.40/x
  3. Step 3: Cross multiply
    2,874.71x = 4,308.89 × 1,639.40
  4. Step 4: Simplify right side
    2,874.71x = 7,063,964.52
  5. Step 5: Solve for x
    x = 7,063,964.52/2,874.71
  6. Step 6: Final answer
    x = 2,457.28

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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.