Home / 2,317.24-3,477.30-949.24

Finding the Fourth Proportional to 2,317.24, 3,477.30 and 949.24

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Solution

The fourth proportional to 2,317.24, 3,477.30 and 949.24 is: 1,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.24 : 3,477.30 = 949.24 : x
  2. Step 2: Convert to fraction form
    2,317.24/3,477.30 = 949.24/x
  3. Step 3: Cross multiply
    2,317.24x = 3,477.30 × 949.24
  4. Step 4: Simplify right side
    2,317.24x = 3,300,792.25
  5. Step 5: Solve for x
    x = 3,300,792.25/2,317.24
  6. Step 6: Final answer
    x = 1,424.45

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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.