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Finding the Fourth Proportional to 2,233.84, 3,346.40 and 1,462

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Solution

The fourth proportional to 2,233.84, 3,346.40 and 1,462 is: 2,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.84 : 3,346.40 = 1,462 : x
  2. Step 2: Convert to fraction form
    2,233.84/3,346.40 = 1,462/x
  3. Step 3: Cross multiply
    2,233.84x = 3,346.40 × 1,462
  4. Step 4: Simplify right side
    2,233.84x = 4,892,436.80
  5. Step 5: Solve for x
    x = 4,892,436.80/2,233.84
  6. Step 6: Final answer
    x = 2,190.15

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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.