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Finding the Fourth Proportional to 2,268.18, 3,402.34 and 624.71

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Solution

The fourth proportional to 2,268.18, 3,402.34 and 624.71 is: 937.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.18 : 3,402.34 = 624.71 : x
  2. Step 2: Convert to fraction form
    2,268.18/3,402.34 = 624.71/x
  3. Step 3: Cross multiply
    2,268.18x = 3,402.34 × 624.71
  4. Step 4: Simplify right side
    2,268.18x = 2,125,482.77
  5. Step 5: Solve for x
    x = 2,125,482.77/2,268.18
  6. Step 6: Final answer
    x = 937.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.