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Finding the Fourth Proportional to 2,340.98, 3,512.36 and 697.53

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Solution

The fourth proportional to 2,340.98, 3,512.36 and 697.53 is: 1,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.98 : 3,512.36 = 697.53 : x
  2. Step 2: Convert to fraction form
    2,340.98/3,512.36 = 697.53/x
  3. Step 3: Cross multiply
    2,340.98x = 3,512.36 × 697.53
  4. Step 4: Simplify right side
    2,340.98x = 2,449,976.47
  5. Step 5: Solve for x
    x = 2,449,976.47/2,340.98
  6. Step 6: Final answer
    x = 1,046.56

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1.5x scale

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.