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Finding the Fourth Proportional to 2,262.58, 3,392.99 and 781.53

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Solution

The fourth proportional to 2,262.58, 3,392.99 and 781.53 is: 1,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.58 : 3,392.99 = 781.53 : x
  2. Step 2: Convert to fraction form
    2,262.58/3,392.99 = 781.53/x
  3. Step 3: Cross multiply
    2,262.58x = 3,392.99 × 781.53
  4. Step 4: Simplify right side
    2,262.58x = 2,651,709.77
  5. Step 5: Solve for x
    x = 2,651,709.77/2,262.58
  6. Step 6: Final answer
    x = 1,171.99

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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.