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Finding the Fourth Proportional to 2,280.71, 3,147.60 and 1,384.38

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Solution

The fourth proportional to 2,280.71, 3,147.60 and 1,384.38 is: 1,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.71 : 3,147.60 = 1,384.38 : x
  2. Step 2: Convert to fraction form
    2,280.71/3,147.60 = 1,384.38/x
  3. Step 3: Cross multiply
    2,280.71x = 3,147.60 × 1,384.38
  4. Step 4: Simplify right side
    2,280.71x = 4,357,471.81
  5. Step 5: Solve for x
    x = 4,357,471.81/2,280.71
  6. Step 6: Final answer
    x = 1,910.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.