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Finding the Fourth Proportional to 2,462.12, 3,692.64 and 730.36

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Solution

The fourth proportional to 2,462.12, 3,692.64 and 730.36 is: 1,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.12 : 3,692.64 = 730.36 : x
  2. Step 2: Convert to fraction form
    2,462.12/3,692.64 = 730.36/x
  3. Step 3: Cross multiply
    2,462.12x = 3,692.64 × 730.36
  4. Step 4: Simplify right side
    2,462.12x = 2,696,956.55
  5. Step 5: Solve for x
    x = 2,696,956.55/2,462.12
  6. Step 6: Final answer
    x = 1,095.38

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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.