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Finding the Fourth Proportional to 2,765.94, 4,142.62 and 1,667.98

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Solution

The fourth proportional to 2,765.94, 4,142.62 and 1,667.98 is: 2,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.94 : 4,142.62 = 1,667.98 : x
  2. Step 2: Convert to fraction form
    2,765.94/4,142.62 = 1,667.98/x
  3. Step 3: Cross multiply
    2,765.94x = 4,142.62 × 1,667.98
  4. Step 4: Simplify right side
    2,765.94x = 6,909,807.31
  5. Step 5: Solve for x
    x = 6,909,807.31/2,765.94
  6. Step 6: Final answer
    x = 2,498.18

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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.