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Finding the Fourth Proportional to 1,874.31, 2,810.39 and 718.71

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Solution

The fourth proportional to 1,874.31, 2,810.39 and 718.71 is: 1,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.31 : 2,810.39 = 718.71 : x
  2. Step 2: Convert to fraction form
    1,874.31/2,810.39 = 718.71/x
  3. Step 3: Cross multiply
    1,874.31x = 2,810.39 × 718.71
  4. Step 4: Simplify right side
    1,874.31x = 2,019,851.80
  5. Step 5: Solve for x
    x = 2,019,851.80/1,874.31
  6. Step 6: Final answer
    x = 1,077.65

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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.