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Finding the Fourth Proportional to 2,196.56, 3,294.84 and 1,516.88

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Solution

The fourth proportional to 2,196.56, 3,294.84 and 1,516.88 is: 2,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.56 : 3,294.84 = 1,516.88 : x
  2. Step 2: Convert to fraction form
    2,196.56/3,294.84 = 1,516.88/x
  3. Step 3: Cross multiply
    2,196.56x = 3,294.84 × 1,516.88
  4. Step 4: Simplify right side
    2,196.56x = 4,997,876.90
  5. Step 5: Solve for x
    x = 4,997,876.90/2,196.56
  6. Step 6: Final answer
    x = 2,275.32

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1.5x scale

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.