Home / 2,782.02-3,838.40-1,663.23

Finding the Fourth Proportional to 2,782.02, 3,838.40 and 1,663.23

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Solution

The fourth proportional to 2,782.02, 3,838.40 and 1,663.23 is: 2,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.02 : 3,838.40 = 1,663.23 : x
  2. Step 2: Convert to fraction form
    2,782.02/3,838.40 = 1,663.23/x
  3. Step 3: Cross multiply
    2,782.02x = 3,838.40 × 1,663.23
  4. Step 4: Simplify right side
    2,782.02x = 6,384,133.72
  5. Step 5: Solve for x
    x = 6,384,133.72/2,782.02
  6. Step 6: Final answer
    x = 2,294.78

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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.