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Finding the Fourth Proportional to 2,478.86, 3,720.16 and 919.82

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Solution

The fourth proportional to 2,478.86, 3,720.16 and 919.82 is: 1,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.86 : 3,720.16 = 919.82 : x
  2. Step 2: Convert to fraction form
    2,478.86/3,720.16 = 919.82/x
  3. Step 3: Cross multiply
    2,478.86x = 3,720.16 × 919.82
  4. Step 4: Simplify right side
    2,478.86x = 3,421,877.57
  5. Step 5: Solve for x
    x = 3,421,877.57/2,478.86
  6. Step 6: Final answer
    x = 1,380.42

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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.