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Finding the Fourth Proportional to 2,947.79, 4,421.68 and 756.52

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Solution

The fourth proportional to 2,947.79, 4,421.68 and 756.52 is: 1,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.79 : 4,421.68 = 756.52 : x
  2. Step 2: Convert to fraction form
    2,947.79/4,421.68 = 756.52/x
  3. Step 3: Cross multiply
    2,947.79x = 4,421.68 × 756.52
  4. Step 4: Simplify right side
    2,947.79x = 3,345,067.25
  5. Step 5: Solve for x
    x = 3,345,067.25/2,947.79
  6. Step 6: Final answer
    x = 1,134.77

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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.