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Finding the Fourth Proportional to 2,277.16, 3,415.91 and 717.24

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Solution

The fourth proportional to 2,277.16, 3,415.91 and 717.24 is: 1,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.16 : 3,415.91 = 717.24 : x
  2. Step 2: Convert to fraction form
    2,277.16/3,415.91 = 717.24/x
  3. Step 3: Cross multiply
    2,277.16x = 3,415.91 × 717.24
  4. Step 4: Simplify right side
    2,277.16x = 2,450,021.66
  5. Step 5: Solve for x
    x = 2,450,021.66/2,277.16
  6. Step 6: Final answer
    x = 1,075.91

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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.