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Finding the Fourth Proportional to 2,989.78, 4,125.49 and 1,663.45

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Solution

The fourth proportional to 2,989.78, 4,125.49 and 1,663.45 is: 2,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.78 : 4,125.49 = 1,663.45 : x
  2. Step 2: Convert to fraction form
    2,989.78/4,125.49 = 1,663.45/x
  3. Step 3: Cross multiply
    2,989.78x = 4,125.49 × 1,663.45
  4. Step 4: Simplify right side
    2,989.78x = 6,862,546.34
  5. Step 5: Solve for x
    x = 6,862,546.34/2,989.78
  6. Step 6: Final answer
    x = 2,295.33

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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.