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Finding the Fourth Proportional to 3,167.86, 4,752.17 and 1,320.22

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Solution

The fourth proportional to 3,167.86, 4,752.17 and 1,320.22 is: 1,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.86 : 4,752.17 = 1,320.22 : x
  2. Step 2: Convert to fraction form
    3,167.86/4,752.17 = 1,320.22/x
  3. Step 3: Cross multiply
    3,167.86x = 4,752.17 × 1,320.22
  4. Step 4: Simplify right side
    3,167.86x = 6,273,909.88
  5. Step 5: Solve for x
    x = 6,273,909.88/3,167.86
  6. Step 6: Final answer
    x = 1,980.49

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1.5x scale

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.