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Finding the Fourth Proportional to 2,034.57, 2,807.90 and 1,288.77

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Solution

The fourth proportional to 2,034.57, 2,807.90 and 1,288.77 is: 1,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.57 : 2,807.90 = 1,288.77 : x
  2. Step 2: Convert to fraction form
    2,034.57/2,807.90 = 1,288.77/x
  3. Step 3: Cross multiply
    2,034.57x = 2,807.90 × 1,288.77
  4. Step 4: Simplify right side
    2,034.57x = 3,618,737.28
  5. Step 5: Solve for x
    x = 3,618,737.28/2,034.57
  6. Step 6: Final answer
    x = 1,778.63

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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.