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Finding the Fourth Proportional to 2,937.66, 4,407.12 and 989.82

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Solution

The fourth proportional to 2,937.66, 4,407.12 and 989.82 is: 1,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.66 : 4,407.12 = 989.82 : x
  2. Step 2: Convert to fraction form
    2,937.66/4,407.12 = 989.82/x
  3. Step 3: Cross multiply
    2,937.66x = 4,407.12 × 989.82
  4. Step 4: Simplify right side
    2,937.66x = 4,362,255.52
  5. Step 5: Solve for x
    x = 4,362,255.52/2,937.66
  6. Step 6: Final answer
    x = 1,484.94

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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.