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Finding the Fourth Proportional to 1,877.64, 2,591.28 and 1,131.78

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Solution

The fourth proportional to 1,877.64, 2,591.28 and 1,131.78 is: 1,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.64 : 2,591.28 = 1,131.78 : x
  2. Step 2: Convert to fraction form
    1,877.64/2,591.28 = 1,131.78/x
  3. Step 3: Cross multiply
    1,877.64x = 2,591.28 × 1,131.78
  4. Step 4: Simplify right side
    1,877.64x = 2,932,758.88
  5. Step 5: Solve for x
    x = 2,932,758.88/1,877.64
  6. Step 6: Final answer
    x = 1,561.94

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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.