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Finding the Fourth Proportional to 2,091.87, 3,137.79 and 510.57

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Solution

The fourth proportional to 2,091.87, 3,137.79 and 510.57 is: 765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.87 : 3,137.79 = 510.57 : x
  2. Step 2: Convert to fraction form
    2,091.87/3,137.79 = 510.57/x
  3. Step 3: Cross multiply
    2,091.87x = 3,137.79 × 510.57
  4. Step 4: Simplify right side
    2,091.87x = 1,602,061.44
  5. Step 5: Solve for x
    x = 1,602,061.44/2,091.87
  6. Step 6: Final answer
    x = 765.85

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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.