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Finding the Fourth Proportional to 2,123.38, 3,186.72 and 952.96

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Solution

The fourth proportional to 2,123.38, 3,186.72 and 952.96 is: 1,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.38 : 3,186.72 = 952.96 : x
  2. Step 2: Convert to fraction form
    2,123.38/3,186.72 = 952.96/x
  3. Step 3: Cross multiply
    2,123.38x = 3,186.72 × 952.96
  4. Step 4: Simplify right side
    2,123.38x = 3,036,816.69
  5. Step 5: Solve for x
    x = 3,036,816.69/2,123.38
  6. Step 6: Final answer
    x = 1,430.18

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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.