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Finding the Fourth Proportional to 2,257.34, 3,383.96 and 869.79

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Solution

The fourth proportional to 2,257.34, 3,383.96 and 869.79 is: 1,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.34 : 3,383.96 = 869.79 : x
  2. Step 2: Convert to fraction form
    2,257.34/3,383.96 = 869.79/x
  3. Step 3: Cross multiply
    2,257.34x = 3,383.96 × 869.79
  4. Step 4: Simplify right side
    2,257.34x = 2,943,334.57
  5. Step 5: Solve for x
    x = 2,943,334.57/2,257.34
  6. Step 6: Final answer
    x = 1,303.90

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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.