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Finding the Fourth Proportional to 2,127.33, 3,190.74 and 567.45

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Solution

The fourth proportional to 2,127.33, 3,190.74 and 567.45 is: 851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.33 : 3,190.74 = 567.45 : x
  2. Step 2: Convert to fraction form
    2,127.33/3,190.74 = 567.45/x
  3. Step 3: Cross multiply
    2,127.33x = 3,190.74 × 567.45
  4. Step 4: Simplify right side
    2,127.33x = 1,810,583.29
  5. Step 5: Solve for x
    x = 1,810,583.29/2,127.33
  6. Step 6: Final answer
    x = 851.11

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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.