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Finding the Fourth Proportional to 1,274.92, 1,909.86 and 1,057.84

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Solution

The fourth proportional to 1,274.92, 1,909.86 and 1,057.84 is: 1,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.92 : 1,909.86 = 1,057.84 : x
  2. Step 2: Convert to fraction form
    1,274.92/1,909.86 = 1,057.84/x
  3. Step 3: Cross multiply
    1,274.92x = 1,909.86 × 1,057.84
  4. Step 4: Simplify right side
    1,274.92x = 2,020,326.30
  5. Step 5: Solve for x
    x = 2,020,326.30/1,274.92
  6. Step 6: Final answer
    x = 1,584.67

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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.