Home / 3,226.16-4,450.64-2,046

Finding the Fourth Proportional to 3,226.16, 4,450.64 and 2,046

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Solution

The fourth proportional to 3,226.16, 4,450.64 and 2,046 is: 2,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.16 : 4,450.64 = 2,046 : x
  2. Step 2: Convert to fraction form
    3,226.16/4,450.64 = 2,046/x
  3. Step 3: Cross multiply
    3,226.16x = 4,450.64 × 2,046
  4. Step 4: Simplify right side
    3,226.16x = 9,106,009.44
  5. Step 5: Solve for x
    x = 9,106,009.44/3,226.16
  6. Step 6: Final answer
    x = 2,822.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.