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Finding the Fourth Proportional to 1,315.58, 1,814.82 and 1,067.18

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Solution

The fourth proportional to 1,315.58, 1,814.82 and 1,067.18 is: 1,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.58 : 1,814.82 = 1,067.18 : x
  2. Step 2: Convert to fraction form
    1,315.58/1,814.82 = 1,067.18/x
  3. Step 3: Cross multiply
    1,315.58x = 1,814.82 × 1,067.18
  4. Step 4: Simplify right side
    1,315.58x = 1,936,739.61
  5. Step 5: Solve for x
    x = 1,936,739.61/1,315.58
  6. Step 6: Final answer
    x = 1,472.16

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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.