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Finding the Fourth Proportional to 2,431.45, 3,647.23 and 788.00

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Solution

The fourth proportional to 2,431.45, 3,647.23 and 788.00 is: 1,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.45 : 3,647.23 = 788.00 : x
  2. Step 2: Convert to fraction form
    2,431.45/3,647.23 = 788.00/x
  3. Step 3: Cross multiply
    2,431.45x = 3,647.23 × 788.00
  4. Step 4: Simplify right side
    2,431.45x = 2,873,997.03
  5. Step 5: Solve for x
    x = 2,873,997.03/2,431.45
  6. Step 6: Final answer
    x = 1,182.01

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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.