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Finding the Fourth Proportional to 3,052.56, 4,211.28 and 1,931.52

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Solution

The fourth proportional to 3,052.56, 4,211.28 and 1,931.52 is: 2,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.56 : 4,211.28 = 1,931.52 : x
  2. Step 2: Convert to fraction form
    3,052.56/4,211.28 = 1,931.52/x
  3. Step 3: Cross multiply
    3,052.56x = 4,211.28 × 1,931.52
  4. Step 4: Simplify right side
    3,052.56x = 8,134,171.55
  5. Step 5: Solve for x
    x = 8,134,171.55/3,052.56
  6. Step 6: Final answer
    x = 2,664.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.