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Finding the Fourth Proportional to 2,910.36, 4,364.88 and 830.32

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Solution

The fourth proportional to 2,910.36, 4,364.88 and 830.32 is: 1,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.36 : 4,364.88 = 830.32 : x
  2. Step 2: Convert to fraction form
    2,910.36/4,364.88 = 830.32/x
  3. Step 3: Cross multiply
    2,910.36x = 4,364.88 × 830.32
  4. Step 4: Simplify right side
    2,910.36x = 3,624,247.16
  5. Step 5: Solve for x
    x = 3,624,247.16/2,910.36
  6. Step 6: Final answer
    x = 1,245.29

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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.