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Finding the Fourth Proportional to 2,937.41, 4,406.15 and 989.61

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Solution

The fourth proportional to 2,937.41, 4,406.15 and 989.61 is: 1,484.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.41 : 4,406.15 = 989.61 : x
  2. Step 2: Convert to fraction form
    2,937.41/4,406.15 = 989.61/x
  3. Step 3: Cross multiply
    2,937.41x = 4,406.15 × 989.61
  4. Step 4: Simplify right side
    2,937.41x = 4,360,365.15
  5. Step 5: Solve for x
    x = 4,360,365.15/2,937.41
  6. Step 6: Final answer
    x = 1,484.42

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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.