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Finding the Fourth Proportional to 1,357.18, 1,873.86 and 1,198.60

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Solution

The fourth proportional to 1,357.18, 1,873.86 and 1,198.60 is: 1,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.18 : 1,873.86 = 1,198.60 : x
  2. Step 2: Convert to fraction form
    1,357.18/1,873.86 = 1,198.60/x
  3. Step 3: Cross multiply
    1,357.18x = 1,873.86 × 1,198.60
  4. Step 4: Simplify right side
    1,357.18x = 2,246,008.60
  5. Step 5: Solve for x
    x = 2,246,008.60/1,357.18
  6. Step 6: Final answer
    x = 1,654.91

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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.