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Finding the Fourth Proportional to 2,677.40, 3,695.77 and 2,016.16

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Solution

The fourth proportional to 2,677.40, 3,695.77 and 2,016.16 is: 2,783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.40 : 3,695.77 = 2,016.16 : x
  2. Step 2: Convert to fraction form
    2,677.40/3,695.77 = 2,016.16/x
  3. Step 3: Cross multiply
    2,677.40x = 3,695.77 × 2,016.16
  4. Step 4: Simplify right side
    2,677.40x = 7,451,263.64
  5. Step 5: Solve for x
    x = 7,451,263.64/2,677.40
  6. Step 6: Final answer
    x = 2,783.02

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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.