Home / 2,204.64-3,304.02-1,164.40

Finding the Fourth Proportional to 2,204.64, 3,304.02 and 1,164.40

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Solution

The fourth proportional to 2,204.64, 3,304.02 and 1,164.40 is: 1,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.64 : 3,304.02 = 1,164.40 : x
  2. Step 2: Convert to fraction form
    2,204.64/3,304.02 = 1,164.40/x
  3. Step 3: Cross multiply
    2,204.64x = 3,304.02 × 1,164.40
  4. Step 4: Simplify right side
    2,204.64x = 3,847,192.63
  5. Step 5: Solve for x
    x = 3,847,192.63/2,204.64
  6. Step 6: Final answer
    x = 1,745.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.