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Finding the Fourth Proportional to 2,781.69, 3,840.27 and 1,898.79

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Solution

The fourth proportional to 2,781.69, 3,840.27 and 1,898.79 is: 2,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.69 : 3,840.27 = 1,898.79 : x
  2. Step 2: Convert to fraction form
    2,781.69/3,840.27 = 1,898.79/x
  3. Step 3: Cross multiply
    2,781.69x = 3,840.27 × 1,898.79
  4. Step 4: Simplify right side
    2,781.69x = 7,291,866.27
  5. Step 5: Solve for x
    x = 7,291,866.27/2,781.69
  6. Step 6: Final answer
    x = 2,621.38

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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.