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Finding the Fourth Proportional to 3,159.60, 4,734.16 and 1,923.27

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Solution

The fourth proportional to 3,159.60, 4,734.16 and 1,923.27 is: 2,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.60 : 4,734.16 = 1,923.27 : x
  2. Step 2: Convert to fraction form
    3,159.60/4,734.16 = 1,923.27/x
  3. Step 3: Cross multiply
    3,159.60x = 4,734.16 × 1,923.27
  4. Step 4: Simplify right side
    3,159.60x = 9,105,067.90
  5. Step 5: Solve for x
    x = 9,105,067.90/3,159.60
  6. Step 6: Final answer
    x = 2,881.72

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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.