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Finding the Fourth Proportional to 2,085.58, 3,116.12 and 2,012.90

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Solution

The fourth proportional to 2,085.58, 3,116.12 and 2,012.90 is: 3,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.58 : 3,116.12 = 2,012.90 : x
  2. Step 2: Convert to fraction form
    2,085.58/3,116.12 = 2,012.90/x
  3. Step 3: Cross multiply
    2,085.58x = 3,116.12 × 2,012.90
  4. Step 4: Simplify right side
    2,085.58x = 6,272,441.15
  5. Step 5: Solve for x
    x = 6,272,441.15/2,085.58
  6. Step 6: Final answer
    x = 3,007.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.