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Finding the Fourth Proportional to 3,110.79, 4,664.59 and 919.24

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Solution

The fourth proportional to 3,110.79, 4,664.59 and 919.24 is: 1,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.79 : 4,664.59 = 919.24 : x
  2. Step 2: Convert to fraction form
    3,110.79/4,664.59 = 919.24/x
  3. Step 3: Cross multiply
    3,110.79x = 4,664.59 × 919.24
  4. Step 4: Simplify right side
    3,110.79x = 4,287,863.75
  5. Step 5: Solve for x
    x = 4,287,863.75/3,110.79
  6. Step 6: Final answer
    x = 1,378.38

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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.