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Finding the Fourth Proportional to 2,277.53, 3,416.43 and 717.58

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Solution

The fourth proportional to 2,277.53, 3,416.43 and 717.58 is: 1,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.53 : 3,416.43 = 717.58 : x
  2. Step 2: Convert to fraction form
    2,277.53/3,416.43 = 717.58/x
  3. Step 3: Cross multiply
    2,277.53x = 3,416.43 × 717.58
  4. Step 4: Simplify right side
    2,277.53x = 2,451,564.76
  5. Step 5: Solve for x
    x = 2,451,564.76/2,277.53
  6. Step 6: Final answer
    x = 1,076.41

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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.