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Finding the Fourth Proportional to 2,373.38, 3,559.17 and 948.19

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Solution

The fourth proportional to 2,373.38, 3,559.17 and 948.19 is: 1,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.38 : 3,559.17 = 948.19 : x
  2. Step 2: Convert to fraction form
    2,373.38/3,559.17 = 948.19/x
  3. Step 3: Cross multiply
    2,373.38x = 3,559.17 × 948.19
  4. Step 4: Simplify right side
    2,373.38x = 3,374,770.73
  5. Step 5: Solve for x
    x = 3,374,770.73/2,373.38
  6. Step 6: Final answer
    x = 1,421.92

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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.