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Finding the Fourth Proportional to 1,677.62, 2,315.10 and 931.56

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Solution

The fourth proportional to 1,677.62, 2,315.10 and 931.56 is: 1,285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.62 : 2,315.10 = 931.56 : x
  2. Step 2: Convert to fraction form
    1,677.62/2,315.10 = 931.56/x
  3. Step 3: Cross multiply
    1,677.62x = 2,315.10 × 931.56
  4. Step 4: Simplify right side
    1,677.62x = 2,156,654.56
  5. Step 5: Solve for x
    x = 2,156,654.56/1,677.62
  6. Step 6: Final answer
    x = 1,285.54

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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.