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Finding the Fourth Proportional to 4,411.36, 6,612.08 and 2,098

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Solution

The fourth proportional to 4,411.36, 6,612.08 and 2,098 is: 3,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,411.36 : 6,612.08 = 2,098 : x
  2. Step 2: Convert to fraction form
    4,411.36/6,612.08 = 2,098/x
  3. Step 3: Cross multiply
    4,411.36x = 6,612.08 × 2,098
  4. Step 4: Simplify right side
    4,411.36x = 13,872,143.84
  5. Step 5: Solve for x
    x = 13,872,143.84/4,411.36
  6. Step 6: Final answer
    x = 3,144.64

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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.