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Finding the Fourth Proportional to 2,856.48, 4,274.24 and 1,687

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Solution

The fourth proportional to 2,856.48, 4,274.24 and 1,687 is: 2,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.48 : 4,274.24 = 1,687 : x
  2. Step 2: Convert to fraction form
    2,856.48/4,274.24 = 1,687/x
  3. Step 3: Cross multiply
    2,856.48x = 4,274.24 × 1,687
  4. Step 4: Simplify right side
    2,856.48x = 7,210,642.88
  5. Step 5: Solve for x
    x = 7,210,642.88/2,856.48
  6. Step 6: Final answer
    x = 2,524.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.