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Finding the Fourth Proportional to 2,851.63, 3,935.19 and 1,592.65

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Solution

The fourth proportional to 2,851.63, 3,935.19 and 1,592.65 is: 2,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.63 : 3,935.19 = 1,592.65 : x
  2. Step 2: Convert to fraction form
    2,851.63/3,935.19 = 1,592.65/x
  3. Step 3: Cross multiply
    2,851.63x = 3,935.19 × 1,592.65
  4. Step 4: Simplify right side
    2,851.63x = 6,267,380.35
  5. Step 5: Solve for x
    x = 6,267,380.35/2,851.63
  6. Step 6: Final answer
    x = 2,197.82

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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.