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Finding the Fourth Proportional to 1,818, 2,509.56 and 1,198.80

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Solution

The fourth proportional to 1,818, 2,509.56 and 1,198.80 is: 1,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818 : 2,509.56 = 1,198.80 : x
  2. Step 2: Convert to fraction form
    1,818/2,509.56 = 1,198.80/x
  3. Step 3: Cross multiply
    1,818x = 2,509.56 × 1,198.80
  4. Step 4: Simplify right side
    1,818x = 3,008,460.53
  5. Step 5: Solve for x
    x = 3,008,460.53/1,818
  6. Step 6: Final answer
    x = 1,654.82

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Why These Related Problems?

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