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Finding the Fourth Proportional to 2,306.64, 3,463.80 and 2,288.72

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Solution

The fourth proportional to 2,306.64, 3,463.80 and 2,288.72 is: 3,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.64 : 3,463.80 = 2,288.72 : x
  2. Step 2: Convert to fraction form
    2,306.64/3,463.80 = 2,288.72/x
  3. Step 3: Cross multiply
    2,306.64x = 3,463.80 × 2,288.72
  4. Step 4: Simplify right side
    2,306.64x = 7,927,668.34
  5. Step 5: Solve for x
    x = 7,927,668.34/2,306.64
  6. Step 6: Final answer
    x = 3,436.89

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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.