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Finding the Fourth Proportional to 2,937.98, 4,406.07 and 989.66

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Solution

The fourth proportional to 2,937.98, 4,406.07 and 989.66 is: 1,484.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.98 : 4,406.07 = 989.66 : x
  2. Step 2: Convert to fraction form
    2,937.98/4,406.07 = 989.66/x
  3. Step 3: Cross multiply
    2,937.98x = 4,406.07 × 989.66
  4. Step 4: Simplify right side
    2,937.98x = 4,360,511.24
  5. Step 5: Solve for x
    x = 4,360,511.24/2,937.98
  6. Step 6: Final answer
    x = 1,484.19

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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.