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Finding the Fourth Proportional to 2,460.62, 3,692.74 and 1,000.20

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Solution

The fourth proportional to 2,460.62, 3,692.74 and 1,000.20 is: 1,501.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.62 : 3,692.74 = 1,000.20 : x
  2. Step 2: Convert to fraction form
    2,460.62/3,692.74 = 1,000.20/x
  3. Step 3: Cross multiply
    2,460.62x = 3,692.74 × 1,000.20
  4. Step 4: Simplify right side
    2,460.62x = 3,693,478.55
  5. Step 5: Solve for x
    x = 3,693,478.55/2,460.62
  6. Step 6: Final answer
    x = 1,501.04

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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.