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Finding the Fourth Proportional to 2,200.97, 3,037.62 and 1,417.29

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Solution

The fourth proportional to 2,200.97, 3,037.62 and 1,417.29 is: 1,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.97 : 3,037.62 = 1,417.29 : x
  2. Step 2: Convert to fraction form
    2,200.97/3,037.62 = 1,417.29/x
  3. Step 3: Cross multiply
    2,200.97x = 3,037.62 × 1,417.29
  4. Step 4: Simplify right side
    2,200.97x = 4,305,188.45
  5. Step 5: Solve for x
    x = 4,305,188.45/2,200.97
  6. Step 6: Final answer
    x = 1,956.04

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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.