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Finding the Fourth Proportional to 2,989.86, 4,125.98 and 1,663.64

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Solution

The fourth proportional to 2,989.86, 4,125.98 and 1,663.64 is: 2,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.86 : 4,125.98 = 1,663.64 : x
  2. Step 2: Convert to fraction form
    2,989.86/4,125.98 = 1,663.64/x
  3. Step 3: Cross multiply
    2,989.86x = 4,125.98 × 1,663.64
  4. Step 4: Simplify right side
    2,989.86x = 6,864,145.37
  5. Step 5: Solve for x
    x = 6,864,145.37/2,989.86
  6. Step 6: Final answer
    x = 2,295.81

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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.