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Finding the Fourth Proportional to 3,252.29, 4,488.16 and 1,760.21

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Solution

The fourth proportional to 3,252.29, 4,488.16 and 1,760.21 is: 2,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.29 : 4,488.16 = 1,760.21 : x
  2. Step 2: Convert to fraction form
    3,252.29/4,488.16 = 1,760.21/x
  3. Step 3: Cross multiply
    3,252.29x = 4,488.16 × 1,760.21
  4. Step 4: Simplify right side
    3,252.29x = 7,900,097.45
  5. Step 5: Solve for x
    x = 7,900,097.45/3,252.29
  6. Step 6: Final answer
    x = 2,429.08

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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.