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Finding the Fourth Proportional to 2,483.54, 3,727.47 and 1,314.38

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Solution

The fourth proportional to 2,483.54, 3,727.47 and 1,314.38 is: 1,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.54 : 3,727.47 = 1,314.38 : x
  2. Step 2: Convert to fraction form
    2,483.54/3,727.47 = 1,314.38/x
  3. Step 3: Cross multiply
    2,483.54x = 3,727.47 × 1,314.38
  4. Step 4: Simplify right side
    2,483.54x = 4,899,303.80
  5. Step 5: Solve for x
    x = 4,899,303.80/2,483.54
  6. Step 6: Final answer
    x = 1,972.71

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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.