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Finding the Fourth Proportional to 3,144.48, 4,712.25 and 2,316.24

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Solution

The fourth proportional to 3,144.48, 4,712.25 and 2,316.24 is: 3,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.48 : 4,712.25 = 2,316.24 : x
  2. Step 2: Convert to fraction form
    3,144.48/4,712.25 = 2,316.24/x
  3. Step 3: Cross multiply
    3,144.48x = 4,712.25 × 2,316.24
  4. Step 4: Simplify right side
    3,144.48x = 10,914,701.94
  5. Step 5: Solve for x
    x = 10,914,701.94/3,144.48
  6. Step 6: Final answer
    x = 3,471.07

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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.