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Finding the Fourth Proportional to 2,749.80, 4,124.82 and 901.02

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Solution

The fourth proportional to 2,749.80, 4,124.82 and 901.02 is: 1,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.80 : 4,124.82 = 901.02 : x
  2. Step 2: Convert to fraction form
    2,749.80/4,124.82 = 901.02/x
  3. Step 3: Cross multiply
    2,749.80x = 4,124.82 × 901.02
  4. Step 4: Simplify right side
    2,749.80x = 3,716,545.32
  5. Step 5: Solve for x
    x = 3,716,545.32/2,749.80
  6. Step 6: Final answer
    x = 1,351.57

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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.