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Finding the Fourth Proportional to 2,508.86, 3,763.53 and 1,047.74

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Solution

The fourth proportional to 2,508.86, 3,763.53 and 1,047.74 is: 1,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.86 : 3,763.53 = 1,047.74 : x
  2. Step 2: Convert to fraction form
    2,508.86/3,763.53 = 1,047.74/x
  3. Step 3: Cross multiply
    2,508.86x = 3,763.53 × 1,047.74
  4. Step 4: Simplify right side
    2,508.86x = 3,943,200.92
  5. Step 5: Solve for x
    x = 3,943,200.92/2,508.86
  6. Step 6: Final answer
    x = 1,571.71

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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.