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Finding the Fourth Proportional to 2,398.42, 3,597.45 and 754.93

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Solution

The fourth proportional to 2,398.42, 3,597.45 and 754.93 is: 1,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.42 : 3,597.45 = 754.93 : x
  2. Step 2: Convert to fraction form
    2,398.42/3,597.45 = 754.93/x
  3. Step 3: Cross multiply
    2,398.42x = 3,597.45 × 754.93
  4. Step 4: Simplify right side
    2,398.42x = 2,715,822.93
  5. Step 5: Solve for x
    x = 2,715,822.93/2,398.42
  6. Step 6: Final answer
    x = 1,132.34

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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.