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Finding the Fourth Proportional to 3,101.60, 4,648.26 and 1,151.84

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Solution

The fourth proportional to 3,101.60, 4,648.26 and 1,151.84 is: 1,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.60 : 4,648.26 = 1,151.84 : x
  2. Step 2: Convert to fraction form
    3,101.60/4,648.26 = 1,151.84/x
  3. Step 3: Cross multiply
    3,101.60x = 4,648.26 × 1,151.84
  4. Step 4: Simplify right side
    3,101.60x = 5,354,051.80
  5. Step 5: Solve for x
    x = 5,354,051.80/3,101.60
  6. Step 6: Final answer
    x = 1,726.22

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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.