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Finding the Fourth Proportional to 2,582.88, 3,872.88 and 1,348.98

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Solution

The fourth proportional to 2,582.88, 3,872.88 and 1,348.98 is: 2,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.88 : 3,872.88 = 1,348.98 : x
  2. Step 2: Convert to fraction form
    2,582.88/3,872.88 = 1,348.98/x
  3. Step 3: Cross multiply
    2,582.88x = 3,872.88 × 1,348.98
  4. Step 4: Simplify right side
    2,582.88x = 5,224,437.66
  5. Step 5: Solve for x
    x = 5,224,437.66/2,582.88
  6. Step 6: Final answer
    x = 2,022.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.