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Finding the Fourth Proportional to 2,677.48, 3,695.70 and 1,631.44

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Solution

The fourth proportional to 2,677.48, 3,695.70 and 1,631.44 is: 2,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.48 : 3,695.70 = 1,631.44 : x
  2. Step 2: Convert to fraction form
    2,677.48/3,695.70 = 1,631.44/x
  3. Step 3: Cross multiply
    2,677.48x = 3,695.70 × 1,631.44
  4. Step 4: Simplify right side
    2,677.48x = 6,029,312.81
  5. Step 5: Solve for x
    x = 6,029,312.81/2,677.48
  6. Step 6: Final answer
    x = 2,251.86

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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.