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Finding the Fourth Proportional to 3,134.04, 4,700.25 and 942.99

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Solution

The fourth proportional to 3,134.04, 4,700.25 and 942.99 is: 1,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.04 : 4,700.25 = 942.99 : x
  2. Step 2: Convert to fraction form
    3,134.04/4,700.25 = 942.99/x
  3. Step 3: Cross multiply
    3,134.04x = 4,700.25 × 942.99
  4. Step 4: Simplify right side
    3,134.04x = 4,432,288.75
  5. Step 5: Solve for x
    x = 4,432,288.75/3,134.04
  6. Step 6: Final answer
    x = 1,414.24

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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.