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Finding the Fourth Proportional to 2,693.57, 4,037.94 and 1,049.00

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Solution

The fourth proportional to 2,693.57, 4,037.94 and 1,049.00 is: 1,572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.57 : 4,037.94 = 1,049.00 : x
  2. Step 2: Convert to fraction form
    2,693.57/4,037.94 = 1,049.00/x
  3. Step 3: Cross multiply
    2,693.57x = 4,037.94 × 1,049.00
  4. Step 4: Simplify right side
    2,693.57x = 4,235,778.87
  5. Step 5: Solve for x
    x = 4,235,778.87/2,693.57
  6. Step 6: Final answer
    x = 1,572.55

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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.