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Finding the Fourth Proportional to 2,782.29, 3,838.95 and 1,663.59

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Solution

The fourth proportional to 2,782.29, 3,838.95 and 1,663.59 is: 2,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.29 : 3,838.95 = 1,663.59 : x
  2. Step 2: Convert to fraction form
    2,782.29/3,838.95 = 1,663.59/x
  3. Step 3: Cross multiply
    2,782.29x = 3,838.95 × 1,663.59
  4. Step 4: Simplify right side
    2,782.29x = 6,386,438.83
  5. Step 5: Solve for x
    x = 6,386,438.83/2,782.29
  6. Step 6: Final answer
    x = 2,295.39

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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.