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Finding the Fourth Proportional to 3,263.20, 4,895.08 and 923.22

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Solution

The fourth proportional to 3,263.20, 4,895.08 and 923.22 is: 1,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263.20 : 4,895.08 = 923.22 : x
  2. Step 2: Convert to fraction form
    3,263.20/4,895.08 = 923.22/x
  3. Step 3: Cross multiply
    3,263.20x = 4,895.08 × 923.22
  4. Step 4: Simplify right side
    3,263.20x = 4,519,235.76
  5. Step 5: Solve for x
    x = 4,519,235.76/3,263.20
  6. Step 6: Final answer
    x = 1,384.91

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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.