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Finding the Fourth Proportional to 1,609.67, 2,218.05 and 1,522.53

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Solution

The fourth proportional to 1,609.67, 2,218.05 and 1,522.53 is: 2,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.67 : 2,218.05 = 1,522.53 : x
  2. Step 2: Convert to fraction form
    1,609.67/2,218.05 = 1,522.53/x
  3. Step 3: Cross multiply
    1,609.67x = 2,218.05 × 1,522.53
  4. Step 4: Simplify right side
    1,609.67x = 3,377,047.67
  5. Step 5: Solve for x
    x = 3,377,047.67/1,609.67
  6. Step 6: Final answer
    x = 2,097.98

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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.