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Finding the Fourth Proportional to 3,143.64, 4,705.74 and 2,677.08

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Solution

The fourth proportional to 3,143.64, 4,705.74 and 2,677.08 is: 4,007.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.64 : 4,705.74 = 2,677.08 : x
  2. Step 2: Convert to fraction form
    3,143.64/4,705.74 = 2,677.08/x
  3. Step 3: Cross multiply
    3,143.64x = 4,705.74 × 2,677.08
  4. Step 4: Simplify right side
    3,143.64x = 12,597,642.44
  5. Step 5: Solve for x
    x = 12,597,642.44/3,143.64
  6. Step 6: Final answer
    x = 4,007.34

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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.