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Finding the Fourth Proportional to 2,263.77, 3,394.82 and 782.62

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Solution

The fourth proportional to 2,263.77, 3,394.82 and 782.62 is: 1,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.77 : 3,394.82 = 782.62 : x
  2. Step 2: Convert to fraction form
    2,263.77/3,394.82 = 782.62/x
  3. Step 3: Cross multiply
    2,263.77x = 3,394.82 × 782.62
  4. Step 4: Simplify right side
    2,263.77x = 2,656,854.03
  5. Step 5: Solve for x
    x = 2,656,854.03/2,263.77
  6. Step 6: Final answer
    x = 1,173.64

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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.