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Finding the Fourth Proportional to 1,562.97, 2,344.25 and 741.77

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Solution

The fourth proportional to 1,562.97, 2,344.25 and 741.77 is: 1,112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.97 : 2,344.25 = 741.77 : x
  2. Step 2: Convert to fraction form
    1,562.97/2,344.25 = 741.77/x
  3. Step 3: Cross multiply
    1,562.97x = 2,344.25 × 741.77
  4. Step 4: Simplify right side
    1,562.97x = 1,738,884.46
  5. Step 5: Solve for x
    x = 1,738,884.46/1,562.97
  6. Step 6: Final answer
    x = 1,112.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.