Home / 2,004.16-2,765.28-1,164.64

Finding the Fourth Proportional to 2,004.16, 2,765.28 and 1,164.64

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Solution

The fourth proportional to 2,004.16, 2,765.28 and 1,164.64 is: 1,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.16 : 2,765.28 = 1,164.64 : x
  2. Step 2: Convert to fraction form
    2,004.16/2,765.28 = 1,164.64/x
  3. Step 3: Cross multiply
    2,004.16x = 2,765.28 × 1,164.64
  4. Step 4: Simplify right side
    2,004.16x = 3,220,555.70
  5. Step 5: Solve for x
    x = 3,220,555.70/2,004.16
  6. Step 6: Final answer
    x = 1,606.94

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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.