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Finding the Fourth Proportional to 1,788.97, 2,467.94 and 1,159.71

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Solution

The fourth proportional to 1,788.97, 2,467.94 and 1,159.71 is: 1,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.97 : 2,467.94 = 1,159.71 : x
  2. Step 2: Convert to fraction form
    1,788.97/2,467.94 = 1,159.71/x
  3. Step 3: Cross multiply
    1,788.97x = 2,467.94 × 1,159.71
  4. Step 4: Simplify right side
    1,788.97x = 2,862,094.70
  5. Step 5: Solve for x
    x = 2,862,094.70/1,788.97
  6. Step 6: Final answer
    x = 1,599.86

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Why These Related Problems?

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