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Finding the Fourth Proportional to 2,287.47, 3,430.68 and 1,363.29

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Solution

The fourth proportional to 2,287.47, 3,430.68 and 1,363.29 is: 2,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.47 : 3,430.68 = 1,363.29 : x
  2. Step 2: Convert to fraction form
    2,287.47/3,430.68 = 1,363.29/x
  3. Step 3: Cross multiply
    2,287.47x = 3,430.68 × 1,363.29
  4. Step 4: Simplify right side
    2,287.47x = 4,677,011.74
  5. Step 5: Solve for x
    x = 4,677,011.74/2,287.47
  6. Step 6: Final answer
    x = 2,044.62

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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.