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Finding the Fourth Proportional to 2,686.34, 4,029.90 and 931.77

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Solution

The fourth proportional to 2,686.34, 4,029.90 and 931.77 is: 1,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.34 : 4,029.90 = 931.77 : x
  2. Step 2: Convert to fraction form
    2,686.34/4,029.90 = 931.77/x
  3. Step 3: Cross multiply
    2,686.34x = 4,029.90 × 931.77
  4. Step 4: Simplify right side
    2,686.34x = 3,754,939.92
  5. Step 5: Solve for x
    x = 3,754,939.92/2,686.34
  6. Step 6: Final answer
    x = 1,397.79

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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.