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Finding the Fourth Proportional to 2,473.15, 3,709.98 and 829.87

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Solution

The fourth proportional to 2,473.15, 3,709.98 and 829.87 is: 1,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.15 : 3,709.98 = 829.87 : x
  2. Step 2: Convert to fraction form
    2,473.15/3,709.98 = 829.87/x
  3. Step 3: Cross multiply
    2,473.15x = 3,709.98 × 829.87
  4. Step 4: Simplify right side
    2,473.15x = 3,078,801.10
  5. Step 5: Solve for x
    x = 3,078,801.10/2,473.15
  6. Step 6: Final answer
    x = 1,244.89

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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.