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Finding the Fourth Proportional to 3,170.32, 4,753.77 and 1,438

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Solution

The fourth proportional to 3,170.32, 4,753.77 and 1,438 is: 2,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.32 : 4,753.77 = 1,438 : x
  2. Step 2: Convert to fraction form
    3,170.32/4,753.77 = 1,438/x
  3. Step 3: Cross multiply
    3,170.32x = 4,753.77 × 1,438
  4. Step 4: Simplify right side
    3,170.32x = 6,835,921.26
  5. Step 5: Solve for x
    x = 6,835,921.26/3,170.32
  6. Step 6: Final answer
    x = 2,156.22

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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.