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Finding the Fourth Proportional to 2,851.52, 3,935.10 and 1,656.74

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Solution

The fourth proportional to 2,851.52, 3,935.10 and 1,656.74 is: 2,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.52 : 3,935.10 = 1,656.74 : x
  2. Step 2: Convert to fraction form
    2,851.52/3,935.10 = 1,656.74/x
  3. Step 3: Cross multiply
    2,851.52x = 3,935.10 × 1,656.74
  4. Step 4: Simplify right side
    2,851.52x = 6,519,437.57
  5. Step 5: Solve for x
    x = 6,519,437.57/2,851.52
  6. Step 6: Final answer
    x = 2,286.30

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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.