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Finding the Fourth Proportional to 2,398.24, 3,597.55 and 666.86

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Solution

The fourth proportional to 2,398.24, 3,597.55 and 666.86 is: 1,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.24 : 3,597.55 = 666.86 : x
  2. Step 2: Convert to fraction form
    2,398.24/3,597.55 = 666.86/x
  3. Step 3: Cross multiply
    2,398.24x = 3,597.55 × 666.86
  4. Step 4: Simplify right side
    2,398.24x = 2,399,062.19
  5. Step 5: Solve for x
    x = 2,399,062.19/2,398.24
  6. Step 6: Final answer
    x = 1,000.34

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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.