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Finding the Fourth Proportional to 2,488.16, 3,432.72 and 1,493.44

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Solution

The fourth proportional to 2,488.16, 3,432.72 and 1,493.44 is: 2,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.16 : 3,432.72 = 1,493.44 : x
  2. Step 2: Convert to fraction form
    2,488.16/3,432.72 = 1,493.44/x
  3. Step 3: Cross multiply
    2,488.16x = 3,432.72 × 1,493.44
  4. Step 4: Simplify right side
    2,488.16x = 5,126,561.36
  5. Step 5: Solve for x
    x = 5,126,561.36/2,488.16
  6. Step 6: Final answer
    x = 2,060.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.