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Finding the Fourth Proportional to 2,232.40, 3,346.32 and 844.88

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Solution

The fourth proportional to 2,232.40, 3,346.32 and 844.88 is: 1,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.40 : 3,346.32 = 844.88 : x
  2. Step 2: Convert to fraction form
    2,232.40/3,346.32 = 844.88/x
  3. Step 3: Cross multiply
    2,232.40x = 3,346.32 × 844.88
  4. Step 4: Simplify right side
    2,232.40x = 2,827,238.84
  5. Step 5: Solve for x
    x = 2,827,238.84/2,232.40
  6. Step 6: Final answer
    x = 1,266.46

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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.