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Finding the Fourth Proportional to 3,104.40, 4,656.62 and 795.90

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Solution

The fourth proportional to 3,104.40, 4,656.62 and 795.90 is: 1,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.40 : 4,656.62 = 795.90 : x
  2. Step 2: Convert to fraction form
    3,104.40/4,656.62 = 795.90/x
  3. Step 3: Cross multiply
    3,104.40x = 4,656.62 × 795.90
  4. Step 4: Simplify right side
    3,104.40x = 3,706,203.86
  5. Step 5: Solve for x
    x = 3,706,203.86/3,104.40
  6. Step 6: Final answer
    x = 1,193.86

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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.