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Finding the Fourth Proportional to 2,893.60, 4,342.22 and 1,663.41

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Solution

The fourth proportional to 2,893.60, 4,342.22 and 1,663.41 is: 2,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.60 : 4,342.22 = 1,663.41 : x
  2. Step 2: Convert to fraction form
    2,893.60/4,342.22 = 1,663.41/x
  3. Step 3: Cross multiply
    2,893.60x = 4,342.22 × 1,663.41
  4. Step 4: Simplify right side
    2,893.60x = 7,222,892.17
  5. Step 5: Solve for x
    x = 7,222,892.17/2,893.60
  6. Step 6: Final answer
    x = 2,496.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.