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Finding the Fourth Proportional to 2,028.42, 3,041.92 and 567.18

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Solution

The fourth proportional to 2,028.42, 3,041.92 and 567.18 is: 850.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.42 : 3,041.92 = 567.18 : x
  2. Step 2: Convert to fraction form
    2,028.42/3,041.92 = 567.18/x
  3. Step 3: Cross multiply
    2,028.42x = 3,041.92 × 567.18
  4. Step 4: Simplify right side
    2,028.42x = 1,725,316.19
  5. Step 5: Solve for x
    x = 1,725,316.19/2,028.42
  6. Step 6: Final answer
    x = 850.57

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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.