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Finding the Fourth Proportional to 1,877.14, 2,591.18 and 1,680.31

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Solution

The fourth proportional to 1,877.14, 2,591.18 and 1,680.31 is: 2,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.14 : 2,591.18 = 1,680.31 : x
  2. Step 2: Convert to fraction form
    1,877.14/2,591.18 = 1,680.31/x
  3. Step 3: Cross multiply
    1,877.14x = 2,591.18 × 1,680.31
  4. Step 4: Simplify right side
    1,877.14x = 4,353,985.67
  5. Step 5: Solve for x
    x = 4,353,985.67/1,877.14
  6. Step 6: Final answer
    x = 2,319.48

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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.