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Finding the Fourth Proportional to 2,902.38, 4,350.84 and 953.32

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Solution

The fourth proportional to 2,902.38, 4,350.84 and 953.32 is: 1,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.38 : 4,350.84 = 953.32 : x
  2. Step 2: Convert to fraction form
    2,902.38/4,350.84 = 953.32/x
  3. Step 3: Cross multiply
    2,902.38x = 4,350.84 × 953.32
  4. Step 4: Simplify right side
    2,902.38x = 4,147,742.79
  5. Step 5: Solve for x
    x = 4,147,742.79/2,902.38
  6. Step 6: Final answer
    x = 1,429.08

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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.