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Finding the Fourth Proportional to 2,849.42, 4,273.90 and 1,000.40

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Solution

The fourth proportional to 2,849.42, 4,273.90 and 1,000.40 is: 1,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.42 : 4,273.90 = 1,000.40 : x
  2. Step 2: Convert to fraction form
    2,849.42/4,273.90 = 1,000.40/x
  3. Step 3: Cross multiply
    2,849.42x = 4,273.90 × 1,000.40
  4. Step 4: Simplify right side
    2,849.42x = 4,275,585.69
  5. Step 5: Solve for x
    x = 4,275,585.69/2,849.42
  6. Step 6: Final answer
    x = 1,500.51

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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.