Home / 2,431.02-3,647.31-869.96

Finding the Fourth Proportional to 2,431.02, 3,647.31 and 869.96

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Solution

The fourth proportional to 2,431.02, 3,647.31 and 869.96 is: 1,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.02 : 3,647.31 = 869.96 : x
  2. Step 2: Convert to fraction form
    2,431.02/3,647.31 = 869.96/x
  3. Step 3: Cross multiply
    2,431.02x = 3,647.31 × 869.96
  4. Step 4: Simplify right side
    2,431.02x = 3,173,022.93
  5. Step 5: Solve for x
    x = 3,173,022.93/2,431.02
  6. Step 6: Final answer
    x = 1,305.22

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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.