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Finding the Fourth Proportional to 2,306.91, 3,458.21 and 1,136.46

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Solution

The fourth proportional to 2,306.91, 3,458.21 and 1,136.46 is: 1,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.91 : 3,458.21 = 1,136.46 : x
  2. Step 2: Convert to fraction form
    2,306.91/3,458.21 = 1,136.46/x
  3. Step 3: Cross multiply
    2,306.91x = 3,458.21 × 1,136.46
  4. Step 4: Simplify right side
    2,306.91x = 3,930,117.34
  5. Step 5: Solve for x
    x = 3,930,117.34/2,306.91
  6. Step 6: Final answer
    x = 1,703.63

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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.