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Finding the Fourth Proportional to 2,496.64, 3,742.80 and 1,199.02

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Solution

The fourth proportional to 2,496.64, 3,742.80 and 1,199.02 is: 1,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.64 : 3,742.80 = 1,199.02 : x
  2. Step 2: Convert to fraction form
    2,496.64/3,742.80 = 1,199.02/x
  3. Step 3: Cross multiply
    2,496.64x = 3,742.80 × 1,199.02
  4. Step 4: Simplify right side
    2,496.64x = 4,487,692.06
  5. Step 5: Solve for x
    x = 4,487,692.06/2,496.64
  6. Step 6: Final answer
    x = 1,797.49

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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.