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Finding the Fourth Proportional to 2,097.28, 2,887.14 and 1,599.04

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Solution

The fourth proportional to 2,097.28, 2,887.14 and 1,599.04 is: 2,201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.28 : 2,887.14 = 1,599.04 : x
  2. Step 2: Convert to fraction form
    2,097.28/2,887.14 = 1,599.04/x
  3. Step 3: Cross multiply
    2,097.28x = 2,887.14 × 1,599.04
  4. Step 4: Simplify right side
    2,097.28x = 4,616,652.35
  5. Step 5: Solve for x
    x = 4,616,652.35/2,097.28
  6. Step 6: Final answer
    x = 2,201.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.