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Finding the Fourth Proportional to 3,064.66, 4,596.90 and 984.80

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Solution

The fourth proportional to 3,064.66, 4,596.90 and 984.80 is: 1,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.66 : 4,596.90 = 984.80 : x
  2. Step 2: Convert to fraction form
    3,064.66/4,596.90 = 984.80/x
  3. Step 3: Cross multiply
    3,064.66x = 4,596.90 × 984.80
  4. Step 4: Simplify right side
    3,064.66x = 4,527,027.12
  5. Step 5: Solve for x
    x = 4,527,027.12/3,064.66
  6. Step 6: Final answer
    x = 1,477.17

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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.