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Finding the Fourth Proportional to 4,119.08, 6,174.78 and 1,520

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Solution

The fourth proportional to 4,119.08, 6,174.78 and 1,520 is: 2,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.08 : 6,174.78 = 1,520 : x
  2. Step 2: Convert to fraction form
    4,119.08/6,174.78 = 1,520/x
  3. Step 3: Cross multiply
    4,119.08x = 6,174.78 × 1,520
  4. Step 4: Simplify right side
    4,119.08x = 9,385,665.60
  5. Step 5: Solve for x
    x = 9,385,665.60/4,119.08
  6. Step 6: Final answer
    x = 2,278.58

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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.