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Finding the Fourth Proportional to 2,337.83, 3,506.70 and 1,105.82

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Solution

The fourth proportional to 2,337.83, 3,506.70 and 1,105.82 is: 1,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.83 : 3,506.70 = 1,105.82 : x
  2. Step 2: Convert to fraction form
    2,337.83/3,506.70 = 1,105.82/x
  3. Step 3: Cross multiply
    2,337.83x = 3,506.70 × 1,105.82
  4. Step 4: Simplify right side
    2,337.83x = 3,877,778.99
  5. Step 5: Solve for x
    x = 3,877,778.99/2,337.83
  6. Step 6: Final answer
    x = 1,658.71

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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.