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Finding the Fourth Proportional to 2,236.32, 3,354.53 and 1,066.46

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Solution

The fourth proportional to 2,236.32, 3,354.53 and 1,066.46 is: 1,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,236.32 : 3,354.53 = 1,066.46 : x
  2. Step 2: Convert to fraction form
    2,236.32/3,354.53 = 1,066.46/x
  3. Step 3: Cross multiply
    2,236.32x = 3,354.53 × 1,066.46
  4. Step 4: Simplify right side
    2,236.32x = 3,577,449.96
  5. Step 5: Solve for x
    x = 3,577,449.96/2,236.32
  6. Step 6: Final answer
    x = 1,599.70

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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.