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Finding the Fourth Proportional to 2,398.08, 3,597.63 and 754.79

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Solution

The fourth proportional to 2,398.08, 3,597.63 and 754.79 is: 1,132.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.08 : 3,597.63 = 754.79 : x
  2. Step 2: Convert to fraction form
    2,398.08/3,597.63 = 754.79/x
  3. Step 3: Cross multiply
    2,398.08x = 3,597.63 × 754.79
  4. Step 4: Simplify right side
    2,398.08x = 2,715,455.15
  5. Step 5: Solve for x
    x = 2,715,455.15/2,398.08
  6. Step 6: Final answer
    x = 1,132.35

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1.5x scale

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.