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Finding the Fourth Proportional to 1,677.96, 2,315.72 and 932.18

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Solution

The fourth proportional to 1,677.96, 2,315.72 and 932.18 is: 1,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.96 : 2,315.72 = 932.18 : x
  2. Step 2: Convert to fraction form
    1,677.96/2,315.72 = 932.18/x
  3. Step 3: Cross multiply
    1,677.96x = 2,315.72 × 932.18
  4. Step 4: Simplify right side
    1,677.96x = 2,158,656.29
  5. Step 5: Solve for x
    x = 2,158,656.29/1,677.96
  6. Step 6: Final answer
    x = 1,286.48

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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.