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Finding the Fourth Proportional to 1,562.82, 2,344.14 and 467.21

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Solution

The fourth proportional to 1,562.82, 2,344.14 and 467.21 is: 700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.82 : 2,344.14 = 467.21 : x
  2. Step 2: Convert to fraction form
    1,562.82/2,344.14 = 467.21/x
  3. Step 3: Cross multiply
    1,562.82x = 2,344.14 × 467.21
  4. Step 4: Simplify right side
    1,562.82x = 1,095,193.93
  5. Step 5: Solve for x
    x = 1,095,193.93/1,562.82
  6. Step 6: Final answer
    x = 700.78

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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.