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Finding the Fourth Proportional to 3,046.30, 4,569.45 and 1,952.80

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Solution

The fourth proportional to 3,046.30, 4,569.45 and 1,952.80 is: 2,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.30 : 4,569.45 = 1,952.80 : x
  2. Step 2: Convert to fraction form
    3,046.30/4,569.45 = 1,952.80/x
  3. Step 3: Cross multiply
    3,046.30x = 4,569.45 × 1,952.80
  4. Step 4: Simplify right side
    3,046.30x = 8,923,221.96
  5. Step 5: Solve for x
    x = 8,923,221.96/3,046.30
  6. Step 6: Final answer
    x = 2,929.20

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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.