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Finding the Fourth Proportional to 2,758.86, 4,138.23 and 1,297.20

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Solution

The fourth proportional to 2,758.86, 4,138.23 and 1,297.20 is: 1,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.86 : 4,138.23 = 1,297.20 : x
  2. Step 2: Convert to fraction form
    2,758.86/4,138.23 = 1,297.20/x
  3. Step 3: Cross multiply
    2,758.86x = 4,138.23 × 1,297.20
  4. Step 4: Simplify right side
    2,758.86x = 5,368,111.96
  5. Step 5: Solve for x
    x = 5,368,111.96/2,758.86
  6. Step 6: Final answer
    x = 1,945.77

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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.