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Finding the Fourth Proportional to 2,937.90, 4,407.12 and 857.92

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Solution

The fourth proportional to 2,937.90, 4,407.12 and 857.92 is: 1,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.90 : 4,407.12 = 857.92 : x
  2. Step 2: Convert to fraction form
    2,937.90/4,407.12 = 857.92/x
  3. Step 3: Cross multiply
    2,937.90x = 4,407.12 × 857.92
  4. Step 4: Simplify right side
    2,937.90x = 3,780,956.39
  5. Step 5: Solve for x
    x = 3,780,956.39/2,937.90
  6. Step 6: Final answer
    x = 1,286.96

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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.