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Finding the Fourth Proportional to 1,867.12, 2,800.24 and 826.55

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Solution

The fourth proportional to 1,867.12, 2,800.24 and 826.55 is: 1,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.12 : 2,800.24 = 826.55 : x
  2. Step 2: Convert to fraction form
    1,867.12/2,800.24 = 826.55/x
  3. Step 3: Cross multiply
    1,867.12x = 2,800.24 × 826.55
  4. Step 4: Simplify right side
    1,867.12x = 2,314,538.37
  5. Step 5: Solve for x
    x = 2,314,538.37/1,867.12
  6. Step 6: Final answer
    x = 1,239.63

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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.