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Finding the Fourth Proportional to 1,511.72, 2,266.68 and 896.12

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Solution

The fourth proportional to 1,511.72, 2,266.68 and 896.12 is: 1,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.72 : 2,266.68 = 896.12 : x
  2. Step 2: Convert to fraction form
    1,511.72/2,266.68 = 896.12/x
  3. Step 3: Cross multiply
    1,511.72x = 2,266.68 × 896.12
  4. Step 4: Simplify right side
    1,511.72x = 2,031,217.28
  5. Step 5: Solve for x
    x = 2,031,217.28/1,511.72
  6. Step 6: Final answer
    x = 1,343.65

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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.