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Finding the Fourth Proportional to 3,186.64, 4,395.42 and 1,944.64

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Solution

The fourth proportional to 3,186.64, 4,395.42 and 1,944.64 is: 2,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.64 : 4,395.42 = 1,944.64 : x
  2. Step 2: Convert to fraction form
    3,186.64/4,395.42 = 1,944.64/x
  3. Step 3: Cross multiply
    3,186.64x = 4,395.42 × 1,944.64
  4. Step 4: Simplify right side
    3,186.64x = 8,547,509.55
  5. Step 5: Solve for x
    x = 8,547,509.55/3,186.64
  6. Step 6: Final answer
    x = 2,682.30

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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.