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Finding the Fourth Proportional to 2,099.76, 3,149.64 and 866.40

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Solution

The fourth proportional to 2,099.76, 3,149.64 and 866.40 is: 1,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.76 : 3,149.64 = 866.40 : x
  2. Step 2: Convert to fraction form
    2,099.76/3,149.64 = 866.40/x
  3. Step 3: Cross multiply
    2,099.76x = 3,149.64 × 866.40
  4. Step 4: Simplify right side
    2,099.76x = 2,728,848.10
  5. Step 5: Solve for x
    x = 2,728,848.10/2,099.76
  6. Step 6: Final answer
    x = 1,299.60

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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.