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Finding the Fourth Proportional to 2,122.78, 3,183.50 and 716.93

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Solution

The fourth proportional to 2,122.78, 3,183.50 and 716.93 is: 1,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.78 : 3,183.50 = 716.93 : x
  2. Step 2: Convert to fraction form
    2,122.78/3,183.50 = 716.93/x
  3. Step 3: Cross multiply
    2,122.78x = 3,183.50 × 716.93
  4. Step 4: Simplify right side
    2,122.78x = 2,282,335.51
  5. Step 5: Solve for x
    x = 2,282,335.51/2,122.78
  6. Step 6: Final answer
    x = 1,075.16

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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.