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Finding the Fourth Proportional to 3,043.88, 4,200.55 and 1,646.63

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Solution

The fourth proportional to 3,043.88, 4,200.55 and 1,646.63 is: 2,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.88 : 4,200.55 = 1,646.63 : x
  2. Step 2: Convert to fraction form
    3,043.88/4,200.55 = 1,646.63/x
  3. Step 3: Cross multiply
    3,043.88x = 4,200.55 × 1,646.63
  4. Step 4: Simplify right side
    3,043.88x = 6,916,726.53
  5. Step 5: Solve for x
    x = 6,916,726.53/3,043.88
  6. Step 6: Final answer
    x = 2,272.34

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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.