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Finding the Fourth Proportional to 1,568.71, 2,348.97 and 1,103.97

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Solution

The fourth proportional to 1,568.71, 2,348.97 and 1,103.97 is: 1,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.71 : 2,348.97 = 1,103.97 : x
  2. Step 2: Convert to fraction form
    1,568.71/2,348.97 = 1,103.97/x
  3. Step 3: Cross multiply
    1,568.71x = 2,348.97 × 1,103.97
  4. Step 4: Simplify right side
    1,568.71x = 2,593,197.08
  5. Step 5: Solve for x
    x = 2,593,197.08/1,568.71
  6. Step 6: Final answer
    x = 1,653.07

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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.