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Finding the Fourth Proportional to 1,927.86, 2,891.78 and 467.02

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Solution

The fourth proportional to 1,927.86, 2,891.78 and 467.02 is: 700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.86 : 2,891.78 = 467.02 : x
  2. Step 2: Convert to fraction form
    1,927.86/2,891.78 = 467.02/x
  3. Step 3: Cross multiply
    1,927.86x = 2,891.78 × 467.02
  4. Step 4: Simplify right side
    1,927.86x = 1,350,519.10
  5. Step 5: Solve for x
    x = 1,350,519.10/1,927.86
  6. Step 6: Final answer
    x = 700.53

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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.