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Finding the Fourth Proportional to 2,197.63, 3,033.72 and 1,402.02

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Solution

The fourth proportional to 2,197.63, 3,033.72 and 1,402.02 is: 1,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.63 : 3,033.72 = 1,402.02 : x
  2. Step 2: Convert to fraction form
    2,197.63/3,033.72 = 1,402.02/x
  3. Step 3: Cross multiply
    2,197.63x = 3,033.72 × 1,402.02
  4. Step 4: Simplify right side
    2,197.63x = 4,253,336.11
  5. Step 5: Solve for x
    x = 4,253,336.11/2,197.63
  6. Step 6: Final answer
    x = 1,935.42

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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.