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Finding the Fourth Proportional to 3,140.49, 4,711.46 and 1,060.46

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Solution

The fourth proportional to 3,140.49, 4,711.46 and 1,060.46 is: 1,590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.49 : 4,711.46 = 1,060.46 : x
  2. Step 2: Convert to fraction form
    3,140.49/4,711.46 = 1,060.46/x
  3. Step 3: Cross multiply
    3,140.49x = 4,711.46 × 1,060.46
  4. Step 4: Simplify right side
    3,140.49x = 4,996,286.01
  5. Step 5: Solve for x
    x = 4,996,286.01/3,140.49
  6. Step 6: Final answer
    x = 1,590.93

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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.