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Finding the Fourth Proportional to 1,402.73, 2,103.57 and 817.93

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Solution

The fourth proportional to 1,402.73, 2,103.57 and 817.93 is: 1,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.73 : 2,103.57 = 817.93 : x
  2. Step 2: Convert to fraction form
    1,402.73/2,103.57 = 817.93/x
  3. Step 3: Cross multiply
    1,402.73x = 2,103.57 × 817.93
  4. Step 4: Simplify right side
    1,402.73x = 1,720,567.75
  5. Step 5: Solve for x
    x = 1,720,567.75/1,402.73
  6. Step 6: Final answer
    x = 1,226.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.