Home / 2,048.49-2,826.85-1,164.43

Finding the Fourth Proportional to 2,048.49, 2,826.85 and 1,164.43

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Solution

The fourth proportional to 2,048.49, 2,826.85 and 1,164.43 is: 1,606.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.49 : 2,826.85 = 1,164.43 : x
  2. Step 2: Convert to fraction form
    2,048.49/2,826.85 = 1,164.43/x
  3. Step 3: Cross multiply
    2,048.49x = 2,826.85 × 1,164.43
  4. Step 4: Simplify right side
    2,048.49x = 3,291,655.85
  5. Step 5: Solve for x
    x = 3,291,655.85/2,048.49
  6. Step 6: Final answer
    x = 1,606.87

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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.