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Finding the Fourth Proportional to 2,341.23, 3,511.53 and 697.47

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Solution

The fourth proportional to 2,341.23, 3,511.53 and 697.47 is: 1,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.23 : 3,511.53 = 697.47 : x
  2. Step 2: Convert to fraction form
    2,341.23/3,511.53 = 697.47/x
  3. Step 3: Cross multiply
    2,341.23x = 3,511.53 × 697.47
  4. Step 4: Simplify right side
    2,341.23x = 2,449,186.83
  5. Step 5: Solve for x
    x = 2,449,186.83/2,341.23
  6. Step 6: Final answer
    x = 1,046.11

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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.