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Finding the Fourth Proportional to 1,788.80, 2,469.51 and 1,080.77

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Solution

The fourth proportional to 1,788.80, 2,469.51 and 1,080.77 is: 1,492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.80 : 2,469.51 = 1,080.77 : x
  2. Step 2: Convert to fraction form
    1,788.80/2,469.51 = 1,080.77/x
  3. Step 3: Cross multiply
    1,788.80x = 2,469.51 × 1,080.77
  4. Step 4: Simplify right side
    1,788.80x = 2,668,959.98
  5. Step 5: Solve for x
    x = 2,668,959.98/1,788.80
  6. Step 6: Final answer
    x = 1,492.04

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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.