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Finding the Fourth Proportional to 3,119.31, 4,303.74 and 1,923.89

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Solution

The fourth proportional to 3,119.31, 4,303.74 and 1,923.89 is: 2,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.31 : 4,303.74 = 1,923.89 : x
  2. Step 2: Convert to fraction form
    3,119.31/4,303.74 = 1,923.89/x
  3. Step 3: Cross multiply
    3,119.31x = 4,303.74 × 1,923.89
  4. Step 4: Simplify right side
    3,119.31x = 8,279,922.35
  5. Step 5: Solve for x
    x = 8,279,922.35/3,119.31
  6. Step 6: Final answer
    x = 2,654.41

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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.