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Finding the Fourth Proportional to 2,341.22, 3,511.98 and 697.93

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Solution

The fourth proportional to 2,341.22, 3,511.98 and 697.93 is: 1,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.22 : 3,511.98 = 697.93 : x
  2. Step 2: Convert to fraction form
    2,341.22/3,511.98 = 697.93/x
  3. Step 3: Cross multiply
    2,341.22x = 3,511.98 × 697.93
  4. Step 4: Simplify right side
    2,341.22x = 2,451,107.42
  5. Step 5: Solve for x
    x = 2,451,107.42/2,341.22
  6. Step 6: Final answer
    x = 1,046.94

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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.