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Finding the Fourth Proportional to 2,861.10, 4,292.46 and 886.68

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Solution

The fourth proportional to 2,861.10, 4,292.46 and 886.68 is: 1,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.10 : 4,292.46 = 886.68 : x
  2. Step 2: Convert to fraction form
    2,861.10/4,292.46 = 886.68/x
  3. Step 3: Cross multiply
    2,861.10x = 4,292.46 × 886.68
  4. Step 4: Simplify right side
    2,861.10x = 3,806,038.43
  5. Step 5: Solve for x
    x = 3,806,038.43/2,861.10
  6. Step 6: Final answer
    x = 1,330.27

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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.