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Finding the Fourth Proportional to 1,535.53, 2,118.97 and 836.89

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Solution

The fourth proportional to 1,535.53, 2,118.97 and 836.89 is: 1,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.53 : 2,118.97 = 836.89 : x
  2. Step 2: Convert to fraction form
    1,535.53/2,118.97 = 836.89/x
  3. Step 3: Cross multiply
    1,535.53x = 2,118.97 × 836.89
  4. Step 4: Simplify right side
    1,535.53x = 1,773,344.80
  5. Step 5: Solve for x
    x = 1,773,344.80/1,535.53
  6. Step 6: Final answer
    x = 1,154.87

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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.