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Finding the Fourth Proportional to 1,802.98, 2,489.52 and 1,411.12

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Solution

The fourth proportional to 1,802.98, 2,489.52 and 1,411.12 is: 1,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.98 : 2,489.52 = 1,411.12 : x
  2. Step 2: Convert to fraction form
    1,802.98/2,489.52 = 1,411.12/x
  3. Step 3: Cross multiply
    1,802.98x = 2,489.52 × 1,411.12
  4. Step 4: Simplify right side
    1,802.98x = 3,513,011.46
  5. Step 5: Solve for x
    x = 3,513,011.46/1,802.98
  6. Step 6: Final answer
    x = 1,948.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.