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Finding the Fourth Proportional to 2,398.44, 3,597.58 and 667.08

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Solution

The fourth proportional to 2,398.44, 3,597.58 and 667.08 is: 1,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.44 : 3,597.58 = 667.08 : x
  2. Step 2: Convert to fraction form
    2,398.44/3,597.58 = 667.08/x
  3. Step 3: Cross multiply
    2,398.44x = 3,597.58 × 667.08
  4. Step 4: Simplify right side
    2,398.44x = 2,399,873.67
  5. Step 5: Solve for x
    x = 2,399,873.67/2,398.44
  6. Step 6: Final answer
    x = 1,000.60

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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.