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Finding the Fourth Proportional to 1,508.90, 2,262.87 and 1,162.62

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Solution

The fourth proportional to 1,508.90, 2,262.87 and 1,162.62 is: 1,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.90 : 2,262.87 = 1,162.62 : x
  2. Step 2: Convert to fraction form
    1,508.90/2,262.87 = 1,162.62/x
  3. Step 3: Cross multiply
    1,508.90x = 2,262.87 × 1,162.62
  4. Step 4: Simplify right side
    1,508.90x = 2,630,857.92
  5. Step 5: Solve for x
    x = 2,630,857.92/1,508.90
  6. Step 6: Final answer
    x = 1,743.57

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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.