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Finding the Fourth Proportional to 3,101.75, 4,651.71 and 1,323.10

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Solution

The fourth proportional to 3,101.75, 4,651.71 and 1,323.10 is: 1,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.75 : 4,651.71 = 1,323.10 : x
  2. Step 2: Convert to fraction form
    3,101.75/4,651.71 = 1,323.10/x
  3. Step 3: Cross multiply
    3,101.75x = 4,651.71 × 1,323.10
  4. Step 4: Simplify right side
    3,101.75x = 6,154,685.80
  5. Step 5: Solve for x
    x = 6,154,685.80/3,101.75
  6. Step 6: Final answer
    x = 1,984.26

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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.