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Finding the Fourth Proportional to 2,461.92, 3,692.88 and 730.68

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Solution

The fourth proportional to 2,461.92, 3,692.88 and 730.68 is: 1,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.92 : 3,692.88 = 730.68 : x
  2. Step 2: Convert to fraction form
    2,461.92/3,692.88 = 730.68/x
  3. Step 3: Cross multiply
    2,461.92x = 3,692.88 × 730.68
  4. Step 4: Simplify right side
    2,461.92x = 2,698,313.56
  5. Step 5: Solve for x
    x = 2,698,313.56/2,461.92
  6. Step 6: Final answer
    x = 1,096.02

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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.