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Finding the Fourth Proportional to 2,852.08, 3,934.02 and 2,014

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Solution

The fourth proportional to 2,852.08, 3,934.02 and 2,014 is: 2,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.08 : 3,934.02 = 2,014 : x
  2. Step 2: Convert to fraction form
    2,852.08/3,934.02 = 2,014/x
  3. Step 3: Cross multiply
    2,852.08x = 3,934.02 × 2,014
  4. Step 4: Simplify right side
    2,852.08x = 7,923,116.28
  5. Step 5: Solve for x
    x = 7,923,116.28/2,852.08
  6. Step 6: Final answer
    x = 2,778.01

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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.