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Finding the Fourth Proportional to 1,383.12, 2,074.56 and 888.23

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Solution

The fourth proportional to 1,383.12, 2,074.56 and 888.23 is: 1,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.12 : 2,074.56 = 888.23 : x
  2. Step 2: Convert to fraction form
    1,383.12/2,074.56 = 888.23/x
  3. Step 3: Cross multiply
    1,383.12x = 2,074.56 × 888.23
  4. Step 4: Simplify right side
    1,383.12x = 1,842,686.43
  5. Step 5: Solve for x
    x = 1,842,686.43/1,383.12
  6. Step 6: Final answer
    x = 1,332.27

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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.