Home / 2,004.09-2,765.16-1,164.30

Finding the Fourth Proportional to 2,004.09, 2,765.16 and 1,164.30

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Solution

The fourth proportional to 2,004.09, 2,765.16 and 1,164.30 is: 1,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.09 : 2,765.16 = 1,164.30 : x
  2. Step 2: Convert to fraction form
    2,004.09/2,765.16 = 1,164.30/x
  3. Step 3: Cross multiply
    2,004.09x = 2,765.16 × 1,164.30
  4. Step 4: Simplify right side
    2,004.09x = 3,219,475.79
  5. Step 5: Solve for x
    x = 3,219,475.79/2,004.09
  6. Step 6: Final answer
    x = 1,606.45

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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.