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Finding the Fourth Proportional to 2,561.14, 3,841.71 and 712.25

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Solution

The fourth proportional to 2,561.14, 3,841.71 and 712.25 is: 1,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.14 : 3,841.71 = 712.25 : x
  2. Step 2: Convert to fraction form
    2,561.14/3,841.71 = 712.25/x
  3. Step 3: Cross multiply
    2,561.14x = 3,841.71 × 712.25
  4. Step 4: Simplify right side
    2,561.14x = 2,736,262.28
  5. Step 5: Solve for x
    x = 2,736,262.28/2,561.14
  6. Step 6: Final answer
    x = 1,068.38

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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.