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Finding the Fourth Proportional to 1,575.60, 2,174.27 and 867.44

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Solution

The fourth proportional to 1,575.60, 2,174.27 and 867.44 is: 1,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.60 : 2,174.27 = 867.44 : x
  2. Step 2: Convert to fraction form
    1,575.60/2,174.27 = 867.44/x
  3. Step 3: Cross multiply
    1,575.60x = 2,174.27 × 867.44
  4. Step 4: Simplify right side
    1,575.60x = 1,886,056.37
  5. Step 5: Solve for x
    x = 1,886,056.37/1,575.60
  6. Step 6: Final answer
    x = 1,197.04

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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.