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Finding the Fourth Proportional to 1,869.17, 2,802.03 and 1,046.87

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Solution

The fourth proportional to 1,869.17, 2,802.03 and 1,046.87 is: 1,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.17 : 2,802.03 = 1,046.87 : x
  2. Step 2: Convert to fraction form
    1,869.17/2,802.03 = 1,046.87/x
  3. Step 3: Cross multiply
    1,869.17x = 2,802.03 × 1,046.87
  4. Step 4: Simplify right side
    1,869.17x = 2,933,359.77
  5. Step 5: Solve for x
    x = 2,933,359.77/1,869.17
  6. Step 6: Final answer
    x = 1,569.34

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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.