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Finding the Fourth Proportional to 2,302.36, 3,451.88 and 841.56

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Solution

The fourth proportional to 2,302.36, 3,451.88 and 841.56 is: 1,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.36 : 3,451.88 = 841.56 : x
  2. Step 2: Convert to fraction form
    2,302.36/3,451.88 = 841.56/x
  3. Step 3: Cross multiply
    2,302.36x = 3,451.88 × 841.56
  4. Step 4: Simplify right side
    2,302.36x = 2,904,964.13
  5. Step 5: Solve for x
    x = 2,904,964.13/2,302.36
  6. Step 6: Final answer
    x = 1,261.73

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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.