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Finding the Fourth Proportional to 2,710.06, 4,074.50 and 1,891.76

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Solution

The fourth proportional to 2,710.06, 4,074.50 and 1,891.76 is: 2,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.06 : 4,074.50 = 1,891.76 : x
  2. Step 2: Convert to fraction form
    2,710.06/4,074.50 = 1,891.76/x
  3. Step 3: Cross multiply
    2,710.06x = 4,074.50 × 1,891.76
  4. Step 4: Simplify right side
    2,710.06x = 7,707,960.48
  5. Step 5: Solve for x
    x = 7,707,960.48/2,710.06
  6. Step 6: Final answer
    x = 2,844.21

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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.