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Finding the Fourth Proportional to 2,807.15, 4,207.62 and 1,162.79

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Solution

The fourth proportional to 2,807.15, 4,207.62 and 1,162.79 is: 1,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.15 : 4,207.62 = 1,162.79 : x
  2. Step 2: Convert to fraction form
    2,807.15/4,207.62 = 1,162.79/x
  3. Step 3: Cross multiply
    2,807.15x = 4,207.62 × 1,162.79
  4. Step 4: Simplify right side
    2,807.15x = 4,892,578.46
  5. Step 5: Solve for x
    x = 4,892,578.46/2,807.15
  6. Step 6: Final answer
    x = 1,742.90

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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.