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Finding the Fourth Proportional to 2,078.68, 3,117.41 and 1,712.56

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Solution

The fourth proportional to 2,078.68, 3,117.41 and 1,712.56 is: 2,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.68 : 3,117.41 = 1,712.56 : x
  2. Step 2: Convert to fraction form
    2,078.68/3,117.41 = 1,712.56/x
  3. Step 3: Cross multiply
    2,078.68x = 3,117.41 × 1,712.56
  4. Step 4: Simplify right side
    2,078.68x = 5,338,751.67
  5. Step 5: Solve for x
    x = 5,338,751.67/2,078.68
  6. Step 6: Final answer
    x = 2,568.34

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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.