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Finding the Fourth Proportional to 3,132.42, 4,698.18 and 823.92

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Solution

The fourth proportional to 3,132.42, 4,698.18 and 823.92 is: 1,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.42 : 4,698.18 = 823.92 : x
  2. Step 2: Convert to fraction form
    3,132.42/4,698.18 = 823.92/x
  3. Step 3: Cross multiply
    3,132.42x = 4,698.18 × 823.92
  4. Step 4: Simplify right side
    3,132.42x = 3,870,924.47
  5. Step 5: Solve for x
    x = 3,870,924.47/3,132.42
  6. Step 6: Final answer
    x = 1,235.76

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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.