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Finding the Fourth Proportional to 2,198.54, 3,037.80 and 1,730.16

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Solution

The fourth proportional to 2,198.54, 3,037.80 and 1,730.16 is: 2,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.54 : 3,037.80 = 1,730.16 : x
  2. Step 2: Convert to fraction form
    2,198.54/3,037.80 = 1,730.16/x
  3. Step 3: Cross multiply
    2,198.54x = 3,037.80 × 1,730.16
  4. Step 4: Simplify right side
    2,198.54x = 5,255,886.54
  5. Step 5: Solve for x
    x = 5,255,886.54/2,198.54
  6. Step 6: Final answer
    x = 2,390.62

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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.