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Finding the Fourth Proportional to 1,872.06, 2,808.75 and 831.97

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Solution

The fourth proportional to 1,872.06, 2,808.75 and 831.97 is: 1,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.06 : 2,808.75 = 831.97 : x
  2. Step 2: Convert to fraction form
    1,872.06/2,808.75 = 831.97/x
  3. Step 3: Cross multiply
    1,872.06x = 2,808.75 × 831.97
  4. Step 4: Simplify right side
    1,872.06x = 2,336,795.74
  5. Step 5: Solve for x
    x = 2,336,795.74/1,872.06
  6. Step 6: Final answer
    x = 1,248.25

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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.