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Finding the Fourth Proportional to 2,306.34, 3,460.66 and 922.37

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Solution

The fourth proportional to 2,306.34, 3,460.66 and 922.37 is: 1,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.34 : 3,460.66 = 922.37 : x
  2. Step 2: Convert to fraction form
    2,306.34/3,460.66 = 922.37/x
  3. Step 3: Cross multiply
    2,306.34x = 3,460.66 × 922.37
  4. Step 4: Simplify right side
    2,306.34x = 3,192,027.31
  5. Step 5: Solve for x
    x = 3,192,027.31/2,306.34
  6. Step 6: Final answer
    x = 1,384.03

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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.