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Finding the Fourth Proportional to 2,781.54, 4,148.01 and 2,436.48

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Solution

The fourth proportional to 2,781.54, 4,148.01 and 2,436.48 is: 3,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.54 : 4,148.01 = 2,436.48 : x
  2. Step 2: Convert to fraction form
    2,781.54/4,148.01 = 2,436.48/x
  3. Step 3: Cross multiply
    2,781.54x = 4,148.01 × 2,436.48
  4. Step 4: Simplify right side
    2,781.54x = 10,106,543.40
  5. Step 5: Solve for x
    x = 10,106,543.40/2,781.54
  6. Step 6: Final answer
    x = 3,633.43

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Why These Related Problems?

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