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Finding the Fourth Proportional to 2,782.77, 3,838.91 and 1,663.14

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Solution

The fourth proportional to 2,782.77, 3,838.91 and 1,663.14 is: 2,294.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.77 : 3,838.91 = 1,663.14 : x
  2. Step 2: Convert to fraction form
    2,782.77/3,838.91 = 1,663.14/x
  3. Step 3: Cross multiply
    2,782.77x = 3,838.91 × 1,663.14
  4. Step 4: Simplify right side
    2,782.77x = 6,384,644.78
  5. Step 5: Solve for x
    x = 6,384,644.78/2,782.77
  6. Step 6: Final answer
    x = 2,294.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.