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Finding the Fourth Proportional to 2,627.64, 3,942 and 984.18

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Solution

The fourth proportional to 2,627.64, 3,942 and 984.18 is: 1,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.64 : 3,942 = 984.18 : x
  2. Step 2: Convert to fraction form
    2,627.64/3,942 = 984.18/x
  3. Step 3: Cross multiply
    2,627.64x = 3,942 × 984.18
  4. Step 4: Simplify right side
    2,627.64x = 3,879,637.56
  5. Step 5: Solve for x
    x = 3,879,637.56/2,627.64
  6. Step 6: Final answer
    x = 1,476.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.