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Finding the Fourth Proportional to 2,423.22, 3,633.05 and 778.82

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Solution

The fourth proportional to 2,423.22, 3,633.05 and 778.82 is: 1,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.22 : 3,633.05 = 778.82 : x
  2. Step 2: Convert to fraction form
    2,423.22/3,633.05 = 778.82/x
  3. Step 3: Cross multiply
    2,423.22x = 3,633.05 × 778.82
  4. Step 4: Simplify right side
    2,423.22x = 2,829,475.78
  5. Step 5: Solve for x
    x = 2,829,475.78/2,423.22
  6. Step 6: Final answer
    x = 1,167.65

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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.