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Finding the Fourth Proportional to 2,383.12, 3,573.24 and 1,066.63

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Solution

The fourth proportional to 2,383.12, 3,573.24 and 1,066.63 is: 1,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.12 : 3,573.24 = 1,066.63 : x
  2. Step 2: Convert to fraction form
    2,383.12/3,573.24 = 1,066.63/x
  3. Step 3: Cross multiply
    2,383.12x = 3,573.24 × 1,066.63
  4. Step 4: Simplify right side
    2,383.12x = 3,811,319.65
  5. Step 5: Solve for x
    x = 3,811,319.65/2,383.12
  6. Step 6: Final answer
    x = 1,599.30

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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.