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Finding the Fourth Proportional to 2,563.01, 3,842.10 and 1,391.30

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Solution

The fourth proportional to 2,563.01, 3,842.10 and 1,391.30 is: 2,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.01 : 3,842.10 = 1,391.30 : x
  2. Step 2: Convert to fraction form
    2,563.01/3,842.10 = 1,391.30/x
  3. Step 3: Cross multiply
    2,563.01x = 3,842.10 × 1,391.30
  4. Step 4: Simplify right side
    2,563.01x = 5,345,494.52
  5. Step 5: Solve for x
    x = 5,345,494.52/2,563.01
  6. Step 6: Final answer
    x = 2,085.64

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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.