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Finding the Fourth Proportional to 2,268.43, 3,402.34 and 624.74

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Solution

The fourth proportional to 2,268.43, 3,402.34 and 624.74 is: 937.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.43 : 3,402.34 = 624.74 : x
  2. Step 2: Convert to fraction form
    2,268.43/3,402.34 = 624.74/x
  3. Step 3: Cross multiply
    2,268.43x = 3,402.34 × 624.74
  4. Step 4: Simplify right side
    2,268.43x = 2,125,574.77
  5. Step 5: Solve for x
    x = 2,125,574.77/2,268.43
  6. Step 6: Final answer
    x = 937.02

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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.