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Finding the Fourth Proportional to 2,851.61, 3,934.78 and 1,656.86

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Solution

The fourth proportional to 2,851.61, 3,934.78 and 1,656.86 is: 2,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.61 : 3,934.78 = 1,656.86 : x
  2. Step 2: Convert to fraction form
    2,851.61/3,934.78 = 1,656.86/x
  3. Step 3: Cross multiply
    2,851.61x = 3,934.78 × 1,656.86
  4. Step 4: Simplify right side
    2,851.61x = 6,519,355.77
  5. Step 5: Solve for x
    x = 6,519,355.77/2,851.61
  6. Step 6: Final answer
    x = 2,286.21

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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.