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Finding the Fourth Proportional to 2,695.51, 3,717.80 and 2,380.22

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Solution

The fourth proportional to 2,695.51, 3,717.80 and 2,380.22 is: 3,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.51 : 3,717.80 = 2,380.22 : x
  2. Step 2: Convert to fraction form
    2,695.51/3,717.80 = 2,380.22/x
  3. Step 3: Cross multiply
    2,695.51x = 3,717.80 × 2,380.22
  4. Step 4: Simplify right side
    2,695.51x = 8,849,187.87
  5. Step 5: Solve for x
    x = 8,849,187.87/2,695.51
  6. Step 6: Final answer
    x = 3,282.93

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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.