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Finding the Fourth Proportional to 2,357.96, 3,534.77 and 817.88

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Solution

The fourth proportional to 2,357.96, 3,534.77 and 817.88 is: 1,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.96 : 3,534.77 = 817.88 : x
  2. Step 2: Convert to fraction form
    2,357.96/3,534.77 = 817.88/x
  3. Step 3: Cross multiply
    2,357.96x = 3,534.77 × 817.88
  4. Step 4: Simplify right side
    2,357.96x = 2,891,002.06
  5. Step 5: Solve for x
    x = 2,891,002.06/2,357.96
  6. Step 6: Final answer
    x = 1,226.06

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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.