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Finding the Fourth Proportional to 2,675.81, 4,013.28 and 896.67

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Solution

The fourth proportional to 2,675.81, 4,013.28 and 896.67 is: 1,344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.81 : 4,013.28 = 896.67 : x
  2. Step 2: Convert to fraction form
    2,675.81/4,013.28 = 896.67/x
  3. Step 3: Cross multiply
    2,675.81x = 4,013.28 × 896.67
  4. Step 4: Simplify right side
    2,675.81x = 3,598,587.78
  5. Step 5: Solve for x
    x = 3,598,587.78/2,675.81
  6. Step 6: Final answer
    x = 1,344.86

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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.