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Finding the Fourth Proportional to 2,075.92, 2,864.74 and 1,191.76

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Solution

The fourth proportional to 2,075.92, 2,864.74 and 1,191.76 is: 1,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.92 : 2,864.74 = 1,191.76 : x
  2. Step 2: Convert to fraction form
    2,075.92/2,864.74 = 1,191.76/x
  3. Step 3: Cross multiply
    2,075.92x = 2,864.74 × 1,191.76
  4. Step 4: Simplify right side
    2,075.92x = 3,414,082.54
  5. Step 5: Solve for x
    x = 3,414,082.54/2,075.92
  6. Step 6: Final answer
    x = 1,644.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.