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Finding the Fourth Proportional to 2,687.16, 4,029.66 and 931.89

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Solution

The fourth proportional to 2,687.16, 4,029.66 and 931.89 is: 1,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.16 : 4,029.66 = 931.89 : x
  2. Step 2: Convert to fraction form
    2,687.16/4,029.66 = 931.89/x
  3. Step 3: Cross multiply
    2,687.16x = 4,029.66 × 931.89
  4. Step 4: Simplify right side
    2,687.16x = 3,755,199.86
  5. Step 5: Solve for x
    x = 3,755,199.86/2,687.16
  6. Step 6: Final answer
    x = 1,397.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.