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Finding the Fourth Proportional to 3,102.58, 4,281.42 and 1,923.76

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Solution

The fourth proportional to 3,102.58, 4,281.42 and 1,923.76 is: 2,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.58 : 4,281.42 = 1,923.76 : x
  2. Step 2: Convert to fraction form
    3,102.58/4,281.42 = 1,923.76/x
  3. Step 3: Cross multiply
    3,102.58x = 4,281.42 × 1,923.76
  4. Step 4: Simplify right side
    3,102.58x = 8,236,424.54
  5. Step 5: Solve for x
    x = 8,236,424.54/3,102.58
  6. Step 6: Final answer
    x = 2,654.70

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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.