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Finding the Fourth Proportional to 3,102.66, 4,654.17 and 1,023.35

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Solution

The fourth proportional to 3,102.66, 4,654.17 and 1,023.35 is: 1,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.66 : 4,654.17 = 1,023.35 : x
  2. Step 2: Convert to fraction form
    3,102.66/4,654.17 = 1,023.35/x
  3. Step 3: Cross multiply
    3,102.66x = 4,654.17 × 1,023.35
  4. Step 4: Simplify right side
    3,102.66x = 4,762,821.60
  5. Step 5: Solve for x
    x = 4,762,821.60/3,102.66
  6. Step 6: Final answer
    x = 1,535.08

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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.