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Finding the Fourth Proportional to 2,259.18, 3,388.92 and 615.69

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Solution

The fourth proportional to 2,259.18, 3,388.92 and 615.69 is: 923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.18 : 3,388.92 = 615.69 : x
  2. Step 2: Convert to fraction form
    2,259.18/3,388.92 = 615.69/x
  3. Step 3: Cross multiply
    2,259.18x = 3,388.92 × 615.69
  4. Step 4: Simplify right side
    2,259.18x = 2,086,524.15
  5. Step 5: Solve for x
    x = 2,086,524.15/2,259.18
  6. Step 6: Final answer
    x = 923.58

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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.