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Finding the Fourth Proportional to 1,873.99, 2,810.30 and 778.44

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Solution

The fourth proportional to 1,873.99, 2,810.30 and 778.44 is: 1,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.99 : 2,810.30 = 778.44 : x
  2. Step 2: Convert to fraction form
    1,873.99/2,810.30 = 778.44/x
  3. Step 3: Cross multiply
    1,873.99x = 2,810.30 × 778.44
  4. Step 4: Simplify right side
    1,873.99x = 2,187,649.93
  5. Step 5: Solve for x
    x = 2,187,649.93/1,873.99
  6. Step 6: Final answer
    x = 1,167.38

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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.