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Finding the Fourth Proportional to 1,908.62, 2,863.37 and 610.08

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Solution

The fourth proportional to 1,908.62, 2,863.37 and 610.08 is: 915.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.62 : 2,863.37 = 610.08 : x
  2. Step 2: Convert to fraction form
    1,908.62/2,863.37 = 610.08/x
  3. Step 3: Cross multiply
    1,908.62x = 2,863.37 × 610.08
  4. Step 4: Simplify right side
    1,908.62x = 1,746,884.77
  5. Step 5: Solve for x
    x = 1,746,884.77/1,908.62
  6. Step 6: Final answer
    x = 915.26

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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.