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Finding the Fourth Proportional to 3,144.53, 4,718.55 and 1,478.36

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Solution

The fourth proportional to 3,144.53, 4,718.55 and 1,478.36 is: 2,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.53 : 4,718.55 = 1,478.36 : x
  2. Step 2: Convert to fraction form
    3,144.53/4,718.55 = 1,478.36/x
  3. Step 3: Cross multiply
    3,144.53x = 4,718.55 × 1,478.36
  4. Step 4: Simplify right side
    3,144.53x = 6,975,715.58
  5. Step 5: Solve for x
    x = 6,975,715.58/3,144.53
  6. Step 6: Final answer
    x = 2,218.37

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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.