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Finding the Fourth Proportional to 2,165.32, 3,247.97 and 866.78

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Solution

The fourth proportional to 2,165.32, 3,247.97 and 866.78 is: 1,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.32 : 3,247.97 = 866.78 : x
  2. Step 2: Convert to fraction form
    2,165.32/3,247.97 = 866.78/x
  3. Step 3: Cross multiply
    2,165.32x = 3,247.97 × 866.78
  4. Step 4: Simplify right side
    2,165.32x = 2,815,271.10
  5. Step 5: Solve for x
    x = 2,815,271.10/2,165.32
  6. Step 6: Final answer
    x = 1,300.17

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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.