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Finding the Fourth Proportional to 2,461.01, 3,692.15 and 818.02

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Solution

The fourth proportional to 2,461.01, 3,692.15 and 818.02 is: 1,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.01 : 3,692.15 = 818.02 : x
  2. Step 2: Convert to fraction form
    2,461.01/3,692.15 = 818.02/x
  3. Step 3: Cross multiply
    2,461.01x = 3,692.15 × 818.02
  4. Step 4: Simplify right side
    2,461.01x = 3,020,252.54
  5. Step 5: Solve for x
    x = 3,020,252.54/2,461.01
  6. Step 6: Final answer
    x = 1,227.24

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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.