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Finding the Fourth Proportional to 2,398.55, 3,597.60 and 667.13

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Solution

The fourth proportional to 2,398.55, 3,597.60 and 667.13 is: 1,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.55 : 3,597.60 = 667.13 : x
  2. Step 2: Convert to fraction form
    2,398.55/3,597.60 = 667.13/x
  3. Step 3: Cross multiply
    2,398.55x = 3,597.60 × 667.13
  4. Step 4: Simplify right side
    2,398.55x = 2,400,066.89
  5. Step 5: Solve for x
    x = 2,400,066.89/2,398.55
  6. Step 6: Final answer
    x = 1,000.63

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