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Finding the Fourth Proportional to 2,085.77, 3,128.79 and 991.19

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Solution

The fourth proportional to 2,085.77, 3,128.79 and 991.19 is: 1,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.77 : 3,128.79 = 991.19 : x
  2. Step 2: Convert to fraction form
    2,085.77/3,128.79 = 991.19/x
  3. Step 3: Cross multiply
    2,085.77x = 3,128.79 × 991.19
  4. Step 4: Simplify right side
    2,085.77x = 3,101,209.72
  5. Step 5: Solve for x
    x = 3,101,209.72/2,085.77
  6. Step 6: Final answer
    x = 1,486.85

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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.