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Finding the Fourth Proportional to 2,495.00, 3,742.79 and 829.27

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Solution

The fourth proportional to 2,495.00, 3,742.79 and 829.27 is: 1,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.00 : 3,742.79 = 829.27 : x
  2. Step 2: Convert to fraction form
    2,495.00/3,742.79 = 829.27/x
  3. Step 3: Cross multiply
    2,495.00x = 3,742.79 × 829.27
  4. Step 4: Simplify right side
    2,495.00x = 3,103,784.00
  5. Step 5: Solve for x
    x = 3,103,784.00/2,495.00
  6. Step 6: Final answer
    x = 1,244.00

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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.