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Finding the Fourth Proportional to 4,902.88, 7,355.22 and 1,616.18

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Solution

The fourth proportional to 4,902.88, 7,355.22 and 1,616.18 is: 2,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.88 : 7,355.22 = 1,616.18 : x
  2. Step 2: Convert to fraction form
    4,902.88/7,355.22 = 1,616.18/x
  3. Step 3: Cross multiply
    4,902.88x = 7,355.22 × 1,616.18
  4. Step 4: Simplify right side
    4,902.88x = 11,887,359.46
  5. Step 5: Solve for x
    x = 11,887,359.46/4,902.88
  6. Step 6: Final answer
    x = 2,424.57

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1.5x scale

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.