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Finding the Fourth Proportional to 2,461.46, 3,692.24 and 999.62

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Solution

The fourth proportional to 2,461.46, 3,692.24 and 999.62 is: 1,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.46 : 3,692.24 = 999.62 : x
  2. Step 2: Convert to fraction form
    2,461.46/3,692.24 = 999.62/x
  3. Step 3: Cross multiply
    2,461.46x = 3,692.24 × 999.62
  4. Step 4: Simplify right side
    2,461.46x = 3,690,813.49
  5. Step 5: Solve for x
    x = 3,690,813.49/2,461.46
  6. Step 6: Final answer
    x = 1,499.44

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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.