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Finding the Fourth Proportional to 2,498.32, 3,448 and 1,503.12

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Solution

The fourth proportional to 2,498.32, 3,448 and 1,503.12 is: 2,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.32 : 3,448 = 1,503.12 : x
  2. Step 2: Convert to fraction form
    2,498.32/3,448 = 1,503.12/x
  3. Step 3: Cross multiply
    2,498.32x = 3,448 × 1,503.12
  4. Step 4: Simplify right side
    2,498.32x = 5,182,757.76
  5. Step 5: Solve for x
    x = 5,182,757.76/2,498.32
  6. Step 6: Final answer
    x = 2,074.50

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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.