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Finding the Fourth Proportional to 2,648.25, 3,944.39 and 2,509.47

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Solution

The fourth proportional to 2,648.25, 3,944.39 and 2,509.47 is: 3,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.25 : 3,944.39 = 2,509.47 : x
  2. Step 2: Convert to fraction form
    2,648.25/3,944.39 = 2,509.47/x
  3. Step 3: Cross multiply
    2,648.25x = 3,944.39 × 2,509.47
  4. Step 4: Simplify right side
    2,648.25x = 9,898,315.83
  5. Step 5: Solve for x
    x = 9,898,315.83/2,648.25
  6. Step 6: Final answer
    x = 3,737.68

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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.