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Finding the Fourth Proportional to 2,977.71, 4,109.75 and 1,718.54

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Solution

The fourth proportional to 2,977.71, 4,109.75 and 1,718.54 is: 2,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.71 : 4,109.75 = 1,718.54 : x
  2. Step 2: Convert to fraction form
    2,977.71/4,109.75 = 1,718.54/x
  3. Step 3: Cross multiply
    2,977.71x = 4,109.75 × 1,718.54
  4. Step 4: Simplify right side
    2,977.71x = 7,062,740.62
  5. Step 5: Solve for x
    x = 7,062,740.62/2,977.71
  6. Step 6: Final answer
    x = 2,371.87

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