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Finding the Fourth Proportional to 2,496.64, 3,742.43 and 1,619.70

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Solution

The fourth proportional to 2,496.64, 3,742.43 and 1,619.70 is: 2,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.64 : 3,742.43 = 1,619.70 : x
  2. Step 2: Convert to fraction form
    2,496.64/3,742.43 = 1,619.70/x
  3. Step 3: Cross multiply
    2,496.64x = 3,742.43 × 1,619.70
  4. Step 4: Simplify right side
    2,496.64x = 6,061,613.87
  5. Step 5: Solve for x
    x = 6,061,613.87/2,496.64
  6. Step 6: Final answer
    x = 2,427.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.