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Finding the Fourth Proportional to 2,416.62, 3,334.77 and 1,354.24

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Solution

The fourth proportional to 2,416.62, 3,334.77 and 1,354.24 is: 1,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.62 : 3,334.77 = 1,354.24 : x
  2. Step 2: Convert to fraction form
    2,416.62/3,334.77 = 1,354.24/x
  3. Step 3: Cross multiply
    2,416.62x = 3,334.77 × 1,354.24
  4. Step 4: Simplify right side
    2,416.62x = 4,516,072.15
  5. Step 5: Solve for x
    x = 4,516,072.15/2,416.62
  6. Step 6: Final answer
    x = 1,868.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.