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Finding the Fourth Proportional to 2,398.14, 3,597.08 and 754.65

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Solution

The fourth proportional to 2,398.14, 3,597.08 and 754.65 is: 1,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.14 : 3,597.08 = 754.65 : x
  2. Step 2: Convert to fraction form
    2,398.14/3,597.08 = 754.65/x
  3. Step 3: Cross multiply
    2,398.14x = 3,597.08 × 754.65
  4. Step 4: Simplify right side
    2,398.14x = 2,714,532.65
  5. Step 5: Solve for x
    x = 2,714,532.65/2,398.14
  6. Step 6: Final answer
    x = 1,131.93

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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.