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Finding the Fourth Proportional to 1,790.70, 2,470.57 and 1,082.76

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Solution

The fourth proportional to 1,790.70, 2,470.57 and 1,082.76 is: 1,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790.70 : 2,470.57 = 1,082.76 : x
  2. Step 2: Convert to fraction form
    1,790.70/2,470.57 = 1,082.76/x
  3. Step 3: Cross multiply
    1,790.70x = 2,470.57 × 1,082.76
  4. Step 4: Simplify right side
    1,790.70x = 2,675,022.40
  5. Step 5: Solve for x
    x = 2,675,022.40/1,790.70
  6. Step 6: Final answer
    x = 1,493.84

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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.