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Finding the Fourth Proportional to 2,696.48, 4,041.98 and 2,180.71

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Solution

The fourth proportional to 2,696.48, 4,041.98 and 2,180.71 is: 3,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.48 : 4,041.98 = 2,180.71 : x
  2. Step 2: Convert to fraction form
    2,696.48/4,041.98 = 2,180.71/x
  3. Step 3: Cross multiply
    2,696.48x = 4,041.98 × 2,180.71
  4. Step 4: Simplify right side
    2,696.48x = 8,814,386.21
  5. Step 5: Solve for x
    x = 8,814,386.21/2,696.48
  6. Step 6: Final answer
    x = 3,268.85

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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.