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Finding the Fourth Proportional to 2,341.11, 3,512.36 and 697.71

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Solution

The fourth proportional to 2,341.11, 3,512.36 and 697.71 is: 1,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.11 : 3,512.36 = 697.71 : x
  2. Step 2: Convert to fraction form
    2,341.11/3,512.36 = 697.71/x
  3. Step 3: Cross multiply
    2,341.11x = 3,512.36 × 697.71
  4. Step 4: Simplify right side
    2,341.11x = 2,450,608.70
  5. Step 5: Solve for x
    x = 2,450,608.70/2,341.11
  6. Step 6: Final answer
    x = 1,046.77

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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.