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Finding the Fourth Proportional to 1,865.95, 2,798.11 and 567.11

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Solution

The fourth proportional to 1,865.95, 2,798.11 and 567.11 is: 850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.95 : 2,798.11 = 567.11 : x
  2. Step 2: Convert to fraction form
    1,865.95/2,798.11 = 567.11/x
  3. Step 3: Cross multiply
    1,865.95x = 2,798.11 × 567.11
  4. Step 4: Simplify right side
    1,865.95x = 1,586,841.74
  5. Step 5: Solve for x
    x = 1,586,841.74/1,865.95
  6. Step 6: Final answer
    x = 850.42

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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.