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Finding the Fourth Proportional to 2,931.86, 4,397.06 and 851.42

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Solution

The fourth proportional to 2,931.86, 4,397.06 and 851.42 is: 1,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.86 : 4,397.06 = 851.42 : x
  2. Step 2: Convert to fraction form
    2,931.86/4,397.06 = 851.42/x
  3. Step 3: Cross multiply
    2,931.86x = 4,397.06 × 851.42
  4. Step 4: Simplify right side
    2,931.86x = 3,743,744.83
  5. Step 5: Solve for x
    x = 3,743,744.83/2,931.86
  6. Step 6: Final answer
    x = 1,276.92

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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.