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Finding the Fourth Proportional to 2,601.23, 3,901.55 and 653.29

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Solution

The fourth proportional to 2,601.23, 3,901.55 and 653.29 is: 979.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.23 : 3,901.55 = 653.29 : x
  2. Step 2: Convert to fraction form
    2,601.23/3,901.55 = 653.29/x
  3. Step 3: Cross multiply
    2,601.23x = 3,901.55 × 653.29
  4. Step 4: Simplify right side
    2,601.23x = 2,548,820.83
  5. Step 5: Solve for x
    x = 2,548,820.83/2,601.23
  6. Step 6: Final answer
    x = 979.85

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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.