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Finding the Fourth Proportional to 2,919.66, 4,381.65 and 2,349.42

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Solution

The fourth proportional to 2,919.66, 4,381.65 and 2,349.42 is: 3,525.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.66 : 4,381.65 = 2,349.42 : x
  2. Step 2: Convert to fraction form
    2,919.66/4,381.65 = 2,349.42/x
  3. Step 3: Cross multiply
    2,919.66x = 4,381.65 × 2,349.42
  4. Step 4: Simplify right side
    2,919.66x = 10,294,336.14
  5. Step 5: Solve for x
    x = 10,294,336.14/2,919.66
  6. Step 6: Final answer
    x = 3,525.87

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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.