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Finding the Fourth Proportional to 2,174.22, 3,261.47 and 875.66

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Solution

The fourth proportional to 2,174.22, 3,261.47 and 875.66 is: 1,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.22 : 3,261.47 = 875.66 : x
  2. Step 2: Convert to fraction form
    2,174.22/3,261.47 = 875.66/x
  3. Step 3: Cross multiply
    2,174.22x = 3,261.47 × 875.66
  4. Step 4: Simplify right side
    2,174.22x = 2,855,918.13
  5. Step 5: Solve for x
    x = 2,855,918.13/2,174.22
  6. Step 6: Final answer
    x = 1,313.54

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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.