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Finding the Fourth Proportional to 1,721.64, 2,387.68 and 1,614.72

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Solution

The fourth proportional to 1,721.64, 2,387.68 and 1,614.72 is: 2,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.64 : 2,387.68 = 1,614.72 : x
  2. Step 2: Convert to fraction form
    1,721.64/2,387.68 = 1,614.72/x
  3. Step 3: Cross multiply
    1,721.64x = 2,387.68 × 1,614.72
  4. Step 4: Simplify right side
    1,721.64x = 3,855,434.65
  5. Step 5: Solve for x
    x = 3,855,434.65/1,721.64
  6. Step 6: Final answer
    x = 2,239.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.