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Finding the Fourth Proportional to 2,125.64, 3,185.84 and 1,542.66

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Solution

The fourth proportional to 2,125.64, 3,185.84 and 1,542.66 is: 2,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.64 : 3,185.84 = 1,542.66 : x
  2. Step 2: Convert to fraction form
    2,125.64/3,185.84 = 1,542.66/x
  3. Step 3: Cross multiply
    2,125.64x = 3,185.84 × 1,542.66
  4. Step 4: Simplify right side
    2,125.64x = 4,914,667.93
  5. Step 5: Solve for x
    x = 4,914,667.93/2,125.64
  6. Step 6: Final answer
    x = 2,312.09

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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.