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Finding the Fourth Proportional to 2,148.54, 3,219.71 and 1,708.71

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Solution

The fourth proportional to 2,148.54, 3,219.71 and 1,708.71 is: 2,560.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.54 : 3,219.71 = 1,708.71 : x
  2. Step 2: Convert to fraction form
    2,148.54/3,219.71 = 1,708.71/x
  3. Step 3: Cross multiply
    2,148.54x = 3,219.71 × 1,708.71
  4. Step 4: Simplify right side
    2,148.54x = 5,501,542.13
  5. Step 5: Solve for x
    x = 5,501,542.13/2,148.54
  6. Step 6: Final answer
    x = 2,560.60

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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.