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Finding the Fourth Proportional to 2,102.06, 3,151.25 and 1,061.19

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Solution

The fourth proportional to 2,102.06, 3,151.25 and 1,061.19 is: 1,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.06 : 3,151.25 = 1,061.19 : x
  2. Step 2: Convert to fraction form
    2,102.06/3,151.25 = 1,061.19/x
  3. Step 3: Cross multiply
    2,102.06x = 3,151.25 × 1,061.19
  4. Step 4: Simplify right side
    2,102.06x = 3,344,074.99
  5. Step 5: Solve for x
    x = 3,344,074.99/2,102.06
  6. Step 6: Final answer
    x = 1,590.86

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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.