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Finding the Fourth Proportional to 2,561.98, 3,842.52 and 712.60

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Solution

The fourth proportional to 2,561.98, 3,842.52 and 712.60 is: 1,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.98 : 3,842.52 = 712.60 : x
  2. Step 2: Convert to fraction form
    2,561.98/3,842.52 = 712.60/x
  3. Step 3: Cross multiply
    2,561.98x = 3,842.52 × 712.60
  4. Step 4: Simplify right side
    2,561.98x = 2,738,179.75
  5. Step 5: Solve for x
    x = 2,738,179.75/2,561.98
  6. Step 6: Final answer
    x = 1,068.77

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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.