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Finding the Fourth Proportional to 3,102.04, 4,654.14 and 1,155.34

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Solution

The fourth proportional to 3,102.04, 4,654.14 and 1,155.34 is: 1,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.04 : 4,654.14 = 1,155.34 : x
  2. Step 2: Convert to fraction form
    3,102.04/4,654.14 = 1,155.34/x
  3. Step 3: Cross multiply
    3,102.04x = 4,654.14 × 1,155.34
  4. Step 4: Simplify right side
    3,102.04x = 5,377,114.11
  5. Step 5: Solve for x
    x = 5,377,114.11/3,102.04
  6. Step 6: Final answer
    x = 1,733.41

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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.