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Finding the Fourth Proportional to 2,398.97, 3,599.44 and 1,148.93

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Solution

The fourth proportional to 2,398.97, 3,599.44 and 1,148.93 is: 1,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.97 : 3,599.44 = 1,148.93 : x
  2. Step 2: Convert to fraction form
    2,398.97/3,599.44 = 1,148.93/x
  3. Step 3: Cross multiply
    2,398.97x = 3,599.44 × 1,148.93
  4. Step 4: Simplify right side
    2,398.97x = 4,135,498.47
  5. Step 5: Solve for x
    x = 4,135,498.47/2,398.97
  6. Step 6: Final answer
    x = 1,723.87

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1.5x scale

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.