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Finding the Fourth Proportional to 1,535.41, 2,118.89 and 836.79

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Solution

The fourth proportional to 1,535.41, 2,118.89 and 836.79 is: 1,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.41 : 2,118.89 = 836.79 : x
  2. Step 2: Convert to fraction form
    1,535.41/2,118.89 = 836.79/x
  3. Step 3: Cross multiply
    1,535.41x = 2,118.89 × 836.79
  4. Step 4: Simplify right side
    1,535.41x = 1,773,062.54
  5. Step 5: Solve for x
    x = 1,773,062.54/1,535.41
  6. Step 6: Final answer
    x = 1,154.78

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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.