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Finding the Fourth Proportional to 1,881.42, 2,822.94 and 1,016.34

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Solution

The fourth proportional to 1,881.42, 2,822.94 and 1,016.34 is: 1,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.42 : 2,822.94 = 1,016.34 : x
  2. Step 2: Convert to fraction form
    1,881.42/2,822.94 = 1,016.34/x
  3. Step 3: Cross multiply
    1,881.42x = 2,822.94 × 1,016.34
  4. Step 4: Simplify right side
    1,881.42x = 2,869,066.84
  5. Step 5: Solve for x
    x = 2,869,066.84/1,881.42
  6. Step 6: Final answer
    x = 1,524.95

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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.