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Finding the Fourth Proportional to 1,847.71, 2,549.61 and 1,101.53

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Solution

The fourth proportional to 1,847.71, 2,549.61 and 1,101.53 is: 1,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.71 : 2,549.61 = 1,101.53 : x
  2. Step 2: Convert to fraction form
    1,847.71/2,549.61 = 1,101.53/x
  3. Step 3: Cross multiply
    1,847.71x = 2,549.61 × 1,101.53
  4. Step 4: Simplify right side
    1,847.71x = 2,808,478.28
  5. Step 5: Solve for x
    x = 2,808,478.28/1,847.71
  6. Step 6: Final answer
    x = 1,519.98

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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.