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Finding the Fourth Proportional to 3,100.57, 4,651.11 and 1,456.22

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Solution

The fourth proportional to 3,100.57, 4,651.11 and 1,456.22 is: 2,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.57 : 4,651.11 = 1,456.22 : x
  2. Step 2: Convert to fraction form
    3,100.57/4,651.11 = 1,456.22/x
  3. Step 3: Cross multiply
    3,100.57x = 4,651.11 × 1,456.22
  4. Step 4: Simplify right side
    3,100.57x = 6,773,051.03
  5. Step 5: Solve for x
    x = 6,773,051.03/3,100.57
  6. Step 6: Final answer
    x = 2,184.45

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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.