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Finding the Fourth Proportional to 2,391.47, 3,299.30 and 1,763.49

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Solution

The fourth proportional to 2,391.47, 3,299.30 and 1,763.49 is: 2,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.47 : 3,299.30 = 1,763.49 : x
  2. Step 2: Convert to fraction form
    2,391.47/3,299.30 = 1,763.49/x
  3. Step 3: Cross multiply
    2,391.47x = 3,299.30 × 1,763.49
  4. Step 4: Simplify right side
    2,391.47x = 5,818,282.56
  5. Step 5: Solve for x
    x = 5,818,282.56/2,391.47
  6. Step 6: Final answer
    x = 2,432.93

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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.