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Finding the Fourth Proportional to 3,306.53, 4,560.32 and 2,046.69

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Solution

The fourth proportional to 3,306.53, 4,560.32 and 2,046.69 is: 2,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.53 : 4,560.32 = 2,046.69 : x
  2. Step 2: Convert to fraction form
    3,306.53/4,560.32 = 2,046.69/x
  3. Step 3: Cross multiply
    3,306.53x = 4,560.32 × 2,046.69
  4. Step 4: Simplify right side
    3,306.53x = 9,333,566.46
  5. Step 5: Solve for x
    x = 9,333,566.46/3,306.53
  6. Step 6: Final answer
    x = 2,822.77

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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.