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Finding the Fourth Proportional to 1,614.24, 2,227.80 and 951

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Solution

The fourth proportional to 1,614.24, 2,227.80 and 951 is: 1,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.24 : 2,227.80 = 951 : x
  2. Step 2: Convert to fraction form
    1,614.24/2,227.80 = 951/x
  3. Step 3: Cross multiply
    1,614.24x = 2,227.80 × 951
  4. Step 4: Simplify right side
    1,614.24x = 2,118,637.80
  5. Step 5: Solve for x
    x = 2,118,637.80/1,614.24
  6. Step 6: Final answer
    x = 1,312.47

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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.