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Finding the Fourth Proportional to 2,444.52, 3,648.99 and 2,264.04

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Solution

The fourth proportional to 2,444.52, 3,648.99 and 2,264.04 is: 3,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.52 : 3,648.99 = 2,264.04 : x
  2. Step 2: Convert to fraction form
    2,444.52/3,648.99 = 2,264.04/x
  3. Step 3: Cross multiply
    2,444.52x = 3,648.99 × 2,264.04
  4. Step 4: Simplify right side
    2,444.52x = 8,261,459.32
  5. Step 5: Solve for x
    x = 8,261,459.32/2,444.52
  6. Step 6: Final answer
    x = 3,379.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.