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Finding the Fourth Proportional to 2,655.64, 3,983.34 and 1,095.22

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Solution

The fourth proportional to 2,655.64, 3,983.34 and 1,095.22 is: 1,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.64 : 3,983.34 = 1,095.22 : x
  2. Step 2: Convert to fraction form
    2,655.64/3,983.34 = 1,095.22/x
  3. Step 3: Cross multiply
    2,655.64x = 3,983.34 × 1,095.22
  4. Step 4: Simplify right side
    2,655.64x = 4,362,613.72
  5. Step 5: Solve for x
    x = 4,362,613.72/2,655.64
  6. Step 6: Final answer
    x = 1,642.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.