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Finding the Fourth Proportional to 3,117.56, 4,675.02 and 1,385

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Solution

The fourth proportional to 3,117.56, 4,675.02 and 1,385 is: 2,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.56 : 4,675.02 = 1,385 : x
  2. Step 2: Convert to fraction form
    3,117.56/4,675.02 = 1,385/x
  3. Step 3: Cross multiply
    3,117.56x = 4,675.02 × 1,385
  4. Step 4: Simplify right side
    3,117.56x = 6,474,902.70
  5. Step 5: Solve for x
    x = 6,474,902.70/3,117.56
  6. Step 6: Final answer
    x = 2,076.91

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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.