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Finding the Fourth Proportional to 2,532.62, 3,777.28 and 2,444.45

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Solution

The fourth proportional to 2,532.62, 3,777.28 and 2,444.45 is: 3,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.62 : 3,777.28 = 2,444.45 : x
  2. Step 2: Convert to fraction form
    2,532.62/3,777.28 = 2,444.45/x
  3. Step 3: Cross multiply
    2,532.62x = 3,777.28 × 2,444.45
  4. Step 4: Simplify right side
    2,532.62x = 9,233,392.72
  5. Step 5: Solve for x
    x = 9,233,392.72/2,532.62
  6. Step 6: Final answer
    x = 3,645.79

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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.