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Finding the Fourth Proportional to 1,382.76, 2,057.85 and 1,330.92

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Solution

The fourth proportional to 1,382.76, 2,057.85 and 1,330.92 is: 1,980.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.76 : 2,057.85 = 1,330.92 : x
  2. Step 2: Convert to fraction form
    1,382.76/2,057.85 = 1,330.92/x
  3. Step 3: Cross multiply
    1,382.76x = 2,057.85 × 1,330.92
  4. Step 4: Simplify right side
    1,382.76x = 2,738,833.72
  5. Step 5: Solve for x
    x = 2,738,833.72/1,382.76
  6. Step 6: Final answer
    x = 1,980.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.