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Finding the Fourth Proportional to 2,116.86, 3,177.21 and 1,130.51

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Solution

The fourth proportional to 2,116.86, 3,177.21 and 1,130.51 is: 1,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.86 : 3,177.21 = 1,130.51 : x
  2. Step 2: Convert to fraction form
    2,116.86/3,177.21 = 1,130.51/x
  3. Step 3: Cross multiply
    2,116.86x = 3,177.21 × 1,130.51
  4. Step 4: Simplify right side
    2,116.86x = 3,591,867.68
  5. Step 5: Solve for x
    x = 3,591,867.68/2,116.86
  6. Step 6: Final answer
    x = 1,696.79

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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.