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Finding the Fourth Proportional to 2,136.34, 3,215.86 and 1,524.28

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Solution

The fourth proportional to 2,136.34, 3,215.86 and 1,524.28 is: 2,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.34 : 3,215.86 = 1,524.28 : x
  2. Step 2: Convert to fraction form
    2,136.34/3,215.86 = 1,524.28/x
  3. Step 3: Cross multiply
    2,136.34x = 3,215.86 × 1,524.28
  4. Step 4: Simplify right side
    2,136.34x = 4,901,871.08
  5. Step 5: Solve for x
    x = 4,901,871.08/2,136.34
  6. Step 6: Final answer
    x = 2,294.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.