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Finding the Fourth Proportional to 2,277.55, 3,416.36 and 717.51

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Solution

The fourth proportional to 2,277.55, 3,416.36 and 717.51 is: 1,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.55 : 3,416.36 = 717.51 : x
  2. Step 2: Convert to fraction form
    2,277.55/3,416.36 = 717.51/x
  3. Step 3: Cross multiply
    2,277.55x = 3,416.36 × 717.51
  4. Step 4: Simplify right side
    2,277.55x = 2,451,272.46
  5. Step 5: Solve for x
    x = 2,451,272.46/2,277.55
  6. Step 6: Final answer
    x = 1,076.28

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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.