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Finding the Fourth Proportional to 2,409.57, 3,614.32 and 1,482.30

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Solution

The fourth proportional to 2,409.57, 3,614.32 and 1,482.30 is: 2,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.57 : 3,614.32 = 1,482.30 : x
  2. Step 2: Convert to fraction form
    2,409.57/3,614.32 = 1,482.30/x
  3. Step 3: Cross multiply
    2,409.57x = 3,614.32 × 1,482.30
  4. Step 4: Simplify right side
    2,409.57x = 5,357,508.39
  5. Step 5: Solve for x
    x = 5,357,508.39/2,409.57
  6. Step 6: Final answer
    x = 2,223.43

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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.