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Finding the Fourth Proportional to 1,881.13, 2,822.37 and 841.05

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Solution

The fourth proportional to 1,881.13, 2,822.37 and 841.05 is: 1,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.13 : 2,822.37 = 841.05 : x
  2. Step 2: Convert to fraction form
    1,881.13/2,822.37 = 841.05/x
  3. Step 3: Cross multiply
    1,881.13x = 2,822.37 × 841.05
  4. Step 4: Simplify right side
    1,881.13x = 2,373,754.29
  5. Step 5: Solve for x
    x = 2,373,754.29/1,881.13
  6. Step 6: Final answer
    x = 1,261.88

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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.