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Finding the Fourth Proportional to 2,028, 3,041.64 and 567.30

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Solution

The fourth proportional to 2,028, 3,041.64 and 567.30 is: 850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028 : 3,041.64 = 567.30 : x
  2. Step 2: Convert to fraction form
    2,028/3,041.64 = 567.30/x
  3. Step 3: Cross multiply
    2,028x = 3,041.64 × 567.30
  4. Step 4: Simplify right side
    2,028x = 1,725,522.37
  5. Step 5: Solve for x
    x = 1,725,522.37/2,028
  6. Step 6: Final answer
    x = 850.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.