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Finding the Fourth Proportional to 2,935.17, 4,401.82 and 986.91

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Solution

The fourth proportional to 2,935.17, 4,401.82 and 986.91 is: 1,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935.17 : 4,401.82 = 986.91 : x
  2. Step 2: Convert to fraction form
    2,935.17/4,401.82 = 986.91/x
  3. Step 3: Cross multiply
    2,935.17x = 4,401.82 × 986.91
  4. Step 4: Simplify right side
    2,935.17x = 4,344,200.18
  5. Step 5: Solve for x
    x = 4,344,200.18/2,935.17
  6. Step 6: Final answer
    x = 1,480.05

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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.