Home / 2,424.12-3,637.10-964.31

Finding the Fourth Proportional to 2,424.12, 3,637.10 and 964.31

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Solution

The fourth proportional to 2,424.12, 3,637.10 and 964.31 is: 1,446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.12 : 3,637.10 = 964.31 : x
  2. Step 2: Convert to fraction form
    2,424.12/3,637.10 = 964.31/x
  3. Step 3: Cross multiply
    2,424.12x = 3,637.10 × 964.31
  4. Step 4: Simplify right side
    2,424.12x = 3,507,268.89
  5. Step 5: Solve for x
    x = 3,507,268.89/2,424.12
  6. Step 6: Final answer
    x = 1,446.82

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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.