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Finding the Fourth Proportional to 3,102.85, 4,654.50 and 1,155.07

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Solution

The fourth proportional to 3,102.85, 4,654.50 and 1,155.07 is: 1,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.85 : 4,654.50 = 1,155.07 : x
  2. Step 2: Convert to fraction form
    3,102.85/4,654.50 = 1,155.07/x
  3. Step 3: Cross multiply
    3,102.85x = 4,654.50 × 1,155.07
  4. Step 4: Simplify right side
    3,102.85x = 5,376,250.04
  5. Step 5: Solve for x
    x = 5,376,250.04/3,102.85
  6. Step 6: Final answer
    x = 1,732.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.