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Finding the Fourth Proportional to 3,134.03, 4,700.12 and 942.17

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Solution

The fourth proportional to 3,134.03, 4,700.12 and 942.17 is: 1,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.03 : 4,700.12 = 942.17 : x
  2. Step 2: Convert to fraction form
    3,134.03/4,700.12 = 942.17/x
  3. Step 3: Cross multiply
    3,134.03x = 4,700.12 × 942.17
  4. Step 4: Simplify right side
    3,134.03x = 4,428,283.85
  5. Step 5: Solve for x
    x = 4,428,283.85/3,134.03
  6. Step 6: Final answer
    x = 1,412.97

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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.