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Finding the Fourth Proportional to 2,758.30, 4,139.05 and 1,027.10

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Solution

The fourth proportional to 2,758.30, 4,139.05 and 1,027.10 is: 1,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.30 : 4,139.05 = 1,027.10 : x
  2. Step 2: Convert to fraction form
    2,758.30/4,139.05 = 1,027.10/x
  3. Step 3: Cross multiply
    2,758.30x = 4,139.05 × 1,027.10
  4. Step 4: Simplify right side
    2,758.30x = 4,251,218.26
  5. Step 5: Solve for x
    x = 4,251,218.26/2,758.30
  6. Step 6: Final answer
    x = 1,541.25

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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.