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Finding the Fourth Proportional to 2,268.50, 3,402.70 and 625.04

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Solution

The fourth proportional to 2,268.50, 3,402.70 and 625.04 is: 937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.50 : 3,402.70 = 625.04 : x
  2. Step 2: Convert to fraction form
    2,268.50/3,402.70 = 625.04/x
  3. Step 3: Cross multiply
    2,268.50x = 3,402.70 × 625.04
  4. Step 4: Simplify right side
    2,268.50x = 2,126,823.61
  5. Step 5: Solve for x
    x = 2,126,823.61/2,268.50
  6. Step 6: Final answer
    x = 937.55

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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.