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Finding the Fourth Proportional to 1,575.94, 2,174.82 and 867.77

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Solution

The fourth proportional to 1,575.94, 2,174.82 and 867.77 is: 1,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.94 : 2,174.82 = 867.77 : x
  2. Step 2: Convert to fraction form
    1,575.94/2,174.82 = 867.77/x
  3. Step 3: Cross multiply
    1,575.94x = 2,174.82 × 867.77
  4. Step 4: Simplify right side
    1,575.94x = 1,887,243.55
  5. Step 5: Solve for x
    x = 1,887,243.55/1,575.94
  6. Step 6: Final answer
    x = 1,197.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.