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Finding the Fourth Proportional to 2,997.86, 4,499.40 and 1,537.82

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Solution

The fourth proportional to 2,997.86, 4,499.40 and 1,537.82 is: 2,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.86 : 4,499.40 = 1,537.82 : x
  2. Step 2: Convert to fraction form
    2,997.86/4,499.40 = 1,537.82/x
  3. Step 3: Cross multiply
    2,997.86x = 4,499.40 × 1,537.82
  4. Step 4: Simplify right side
    2,997.86x = 6,919,267.31
  5. Step 5: Solve for x
    x = 6,919,267.31/2,997.86
  6. Step 6: Final answer
    x = 2,308.07

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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.