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Finding the Fourth Proportional to 2,422.35, 3,633.63 and 778.90

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Solution

The fourth proportional to 2,422.35, 3,633.63 and 778.90 is: 1,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.35 : 3,633.63 = 778.90 : x
  2. Step 2: Convert to fraction form
    2,422.35/3,633.63 = 778.90/x
  3. Step 3: Cross multiply
    2,422.35x = 3,633.63 × 778.90
  4. Step 4: Simplify right side
    2,422.35x = 2,830,234.41
  5. Step 5: Solve for x
    x = 2,830,234.41/2,422.35
  6. Step 6: Final answer
    x = 1,168.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.