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Finding the Fourth Proportional to 1,788.51, 2,469.42 and 1,159.41

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Solution

The fourth proportional to 1,788.51, 2,469.42 and 1,159.41 is: 1,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.51 : 2,469.42 = 1,159.41 : x
  2. Step 2: Convert to fraction form
    1,788.51/2,469.42 = 1,159.41/x
  3. Step 3: Cross multiply
    1,788.51x = 2,469.42 × 1,159.41
  4. Step 4: Simplify right side
    1,788.51x = 2,863,070.24
  5. Step 5: Solve for x
    x = 2,863,070.24/1,788.51
  6. Step 6: Final answer
    x = 1,600.81

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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.