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Finding the Fourth Proportional to 2,380.68, 3,583.42 and 2,154.28

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Solution

The fourth proportional to 2,380.68, 3,583.42 and 2,154.28 is: 3,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.68 : 3,583.42 = 2,154.28 : x
  2. Step 2: Convert to fraction form
    2,380.68/3,583.42 = 2,154.28/x
  3. Step 3: Cross multiply
    2,380.68x = 3,583.42 × 2,154.28
  4. Step 4: Simplify right side
    2,380.68x = 7,719,690.04
  5. Step 5: Solve for x
    x = 7,719,690.04/2,380.68
  6. Step 6: Final answer
    x = 3,242.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.