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Finding the Fourth Proportional to 1,863.32, 2,573.48 and 1,614.24

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Solution

The fourth proportional to 1,863.32, 2,573.48 and 1,614.24 is: 2,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.32 : 2,573.48 = 1,614.24 : x
  2. Step 2: Convert to fraction form
    1,863.32/2,573.48 = 1,614.24/x
  3. Step 3: Cross multiply
    1,863.32x = 2,573.48 × 1,614.24
  4. Step 4: Simplify right side
    1,863.32x = 4,154,214.36
  5. Step 5: Solve for x
    x = 4,154,214.36/1,863.32
  6. Step 6: Final answer
    x = 2,229.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.