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Finding the Fourth Proportional to 2,461.70, 3,692.49 and 1,000.49

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Solution

The fourth proportional to 2,461.70, 3,692.49 and 1,000.49 is: 1,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.70 : 3,692.49 = 1,000.49 : x
  2. Step 2: Convert to fraction form
    2,461.70/3,692.49 = 1,000.49/x
  3. Step 3: Cross multiply
    2,461.70x = 3,692.49 × 1,000.49
  4. Step 4: Simplify right side
    2,461.70x = 3,694,299.32
  5. Step 5: Solve for x
    x = 3,694,299.32/2,461.70
  6. Step 6: Final answer
    x = 1,500.71

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Double scale
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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.