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Finding the Fourth Proportional to 1,877.65, 2,591.51 and 1,131.71

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Solution

The fourth proportional to 1,877.65, 2,591.51 and 1,131.71 is: 1,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.65 : 2,591.51 = 1,131.71 : x
  2. Step 2: Convert to fraction form
    1,877.65/2,591.51 = 1,131.71/x
  3. Step 3: Cross multiply
    1,877.65x = 2,591.51 × 1,131.71
  4. Step 4: Simplify right side
    1,877.65x = 2,932,832.12
  5. Step 5: Solve for x
    x = 2,932,832.12/1,877.65
  6. Step 6: Final answer
    x = 1,561.97

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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.