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Finding the Fourth Proportional to 3,252.89, 4,488.95 and 1,760.77

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Solution

The fourth proportional to 3,252.89, 4,488.95 and 1,760.77 is: 2,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.89 : 4,488.95 = 1,760.77 : x
  2. Step 2: Convert to fraction form
    3,252.89/4,488.95 = 1,760.77/x
  3. Step 3: Cross multiply
    3,252.89x = 4,488.95 × 1,760.77
  4. Step 4: Simplify right side
    3,252.89x = 7,904,008.49
  5. Step 5: Solve for x
    x = 7,904,008.49/3,252.89
  6. Step 6: Final answer
    x = 2,429.84

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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.