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Finding the Fourth Proportional to 2,838.74, 4,253.37 and 988.83

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Solution

The fourth proportional to 2,838.74, 4,253.37 and 988.83 is: 1,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.74 : 4,253.37 = 988.83 : x
  2. Step 2: Convert to fraction form
    2,838.74/4,253.37 = 988.83/x
  3. Step 3: Cross multiply
    2,838.74x = 4,253.37 × 988.83
  4. Step 4: Simplify right side
    2,838.74x = 4,205,859.86
  5. Step 5: Solve for x
    x = 4,205,859.86/2,838.74
  6. Step 6: Final answer
    x = 1,481.60

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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.