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Finding the Fourth Proportional to 1,878.80, 2,819.21 and 783.91

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Solution

The fourth proportional to 1,878.80, 2,819.21 and 783.91 is: 1,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.80 : 2,819.21 = 783.91 : x
  2. Step 2: Convert to fraction form
    1,878.80/2,819.21 = 783.91/x
  3. Step 3: Cross multiply
    1,878.80x = 2,819.21 × 783.91
  4. Step 4: Simplify right side
    1,878.80x = 2,210,006.52
  5. Step 5: Solve for x
    x = 2,210,006.52/1,878.80
  6. Step 6: Final answer
    x = 1,176.29

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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.