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Finding the Fourth Proportional to 3,424.34, 4,725.55 and 1,932.74

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Solution

The fourth proportional to 3,424.34, 4,725.55 and 1,932.74 is: 2,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.34 : 4,725.55 = 1,932.74 : x
  2. Step 2: Convert to fraction form
    3,424.34/4,725.55 = 1,932.74/x
  3. Step 3: Cross multiply
    3,424.34x = 4,725.55 × 1,932.74
  4. Step 4: Simplify right side
    3,424.34x = 9,133,226.22
  5. Step 5: Solve for x
    x = 9,133,226.22/3,424.34
  6. Step 6: Final answer
    x = 2,667.15

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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.