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Finding the Fourth Proportional to 2,412.81, 3,595.11 and 2,306.67

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Solution

The fourth proportional to 2,412.81, 3,595.11 and 2,306.67 is: 3,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.81 : 3,595.11 = 2,306.67 : x
  2. Step 2: Convert to fraction form
    2,412.81/3,595.11 = 2,306.67/x
  3. Step 3: Cross multiply
    2,412.81x = 3,595.11 × 2,306.67
  4. Step 4: Simplify right side
    2,412.81x = 8,292,732.38
  5. Step 5: Solve for x
    x = 8,292,732.38/2,412.81
  6. Step 6: Final answer
    x = 3,436.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.