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Finding the Fourth Proportional to 3,181.05, 4,767.48 and 2,565.05

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Solution

The fourth proportional to 3,181.05, 4,767.48 and 2,565.05 is: 3,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.05 : 4,767.48 = 2,565.05 : x
  2. Step 2: Convert to fraction form
    3,181.05/4,767.48 = 2,565.05/x
  3. Step 3: Cross multiply
    3,181.05x = 4,767.48 × 2,565.05
  4. Step 4: Simplify right side
    3,181.05x = 12,228,800.74
  5. Step 5: Solve for x
    x = 12,228,800.74/3,181.05
  6. Step 6: Final answer
    x = 3,844.27

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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.