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Finding the Fourth Proportional to 2,409.38, 3,614.61 and 870.38

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Solution

The fourth proportional to 2,409.38, 3,614.61 and 870.38 is: 1,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.38 : 3,614.61 = 870.38 : x
  2. Step 2: Convert to fraction form
    2,409.38/3,614.61 = 870.38/x
  3. Step 3: Cross multiply
    2,409.38x = 3,614.61 × 870.38
  4. Step 4: Simplify right side
    2,409.38x = 3,146,066.18
  5. Step 5: Solve for x
    x = 3,146,066.18/2,409.38
  6. Step 6: Final answer
    x = 1,305.76

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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.