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Finding the Fourth Proportional to 3,046.65, 4,206.14 and 2,000.53

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Solution

The fourth proportional to 3,046.65, 4,206.14 and 2,000.53 is: 2,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.65 : 4,206.14 = 2,000.53 : x
  2. Step 2: Convert to fraction form
    3,046.65/4,206.14 = 2,000.53/x
  3. Step 3: Cross multiply
    3,046.65x = 4,206.14 × 2,000.53
  4. Step 4: Simplify right side
    3,046.65x = 8,414,509.25
  5. Step 5: Solve for x
    x = 8,414,509.25/3,046.65
  6. Step 6: Final answer
    x = 2,761.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.