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Finding the Fourth Proportional to 2,398.08, 3,597.62 and 754.80

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Solution

The fourth proportional to 2,398.08, 3,597.62 and 754.80 is: 1,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.08 : 3,597.62 = 754.80 : x
  2. Step 2: Convert to fraction form
    2,398.08/3,597.62 = 754.80/x
  3. Step 3: Cross multiply
    2,398.08x = 3,597.62 × 754.80
  4. Step 4: Simplify right side
    2,398.08x = 2,715,483.58
  5. Step 5: Solve for x
    x = 2,715,483.58/2,398.08
  6. Step 6: Final answer
    x = 1,132.36

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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.