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Finding the Fourth Proportional to 1,867.38, 2,801.27 and 713.13

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Solution

The fourth proportional to 1,867.38, 2,801.27 and 713.13 is: 1,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.38 : 2,801.27 = 713.13 : x
  2. Step 2: Convert to fraction form
    1,867.38/2,801.27 = 713.13/x
  3. Step 3: Cross multiply
    1,867.38x = 2,801.27 × 713.13
  4. Step 4: Simplify right side
    1,867.38x = 1,997,669.68
  5. Step 5: Solve for x
    x = 1,997,669.68/1,867.38
  6. Step 6: Final answer
    x = 1,069.77

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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.