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Finding the Fourth Proportional to 1,867.46, 2,799.36 and 894.24

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Solution

The fourth proportional to 1,867.46, 2,799.36 and 894.24 is: 1,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.46 : 2,799.36 = 894.24 : x
  2. Step 2: Convert to fraction form
    1,867.46/2,799.36 = 894.24/x
  3. Step 3: Cross multiply
    1,867.46x = 2,799.36 × 894.24
  4. Step 4: Simplify right side
    1,867.46x = 2,503,299.69
  5. Step 5: Solve for x
    x = 2,503,299.69/1,867.46
  6. Step 6: Final answer
    x = 1,340.49

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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.