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Finding the Fourth Proportional to 2,252.57, 3,377.48 and 1,082.93

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Solution

The fourth proportional to 2,252.57, 3,377.48 and 1,082.93 is: 1,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.57 : 3,377.48 = 1,082.93 : x
  2. Step 2: Convert to fraction form
    2,252.57/3,377.48 = 1,082.93/x
  3. Step 3: Cross multiply
    2,252.57x = 3,377.48 × 1,082.93
  4. Step 4: Simplify right side
    2,252.57x = 3,657,552.11
  5. Step 5: Solve for x
    x = 3,657,552.11/2,252.57
  6. Step 6: Final answer
    x = 1,623.73

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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.