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Finding the Fourth Proportional to 1,874.82, 2,808.67 and 1,053.69

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Solution

The fourth proportional to 1,874.82, 2,808.67 and 1,053.69 is: 1,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.82 : 2,808.67 = 1,053.69 : x
  2. Step 2: Convert to fraction form
    1,874.82/2,808.67 = 1,053.69/x
  3. Step 3: Cross multiply
    1,874.82x = 2,808.67 × 1,053.69
  4. Step 4: Simplify right side
    1,874.82x = 2,959,467.49
  5. Step 5: Solve for x
    x = 2,959,467.49/1,874.82
  6. Step 6: Final answer
    x = 1,578.53

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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.