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Finding the Fourth Proportional to 1,849.71, 2,552.91 and 1,103.70

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Solution

The fourth proportional to 1,849.71, 2,552.91 and 1,103.70 is: 1,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.71 : 2,552.91 = 1,103.70 : x
  2. Step 2: Convert to fraction form
    1,849.71/2,552.91 = 1,103.70/x
  3. Step 3: Cross multiply
    1,849.71x = 2,552.91 × 1,103.70
  4. Step 4: Simplify right side
    1,849.71x = 2,817,646.77
  5. Step 5: Solve for x
    x = 2,817,646.77/1,849.71
  6. Step 6: Final answer
    x = 1,523.29

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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.