Home / 1,528.13-2,108.81-829.50

Finding the Fourth Proportional to 1,528.13, 2,108.81 and 829.50

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Solution

The fourth proportional to 1,528.13, 2,108.81 and 829.50 is: 1,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.13 : 2,108.81 = 829.50 : x
  2. Step 2: Convert to fraction form
    1,528.13/2,108.81 = 829.50/x
  3. Step 3: Cross multiply
    1,528.13x = 2,108.81 × 829.50
  4. Step 4: Simplify right side
    1,528.13x = 1,749,259.97
  5. Step 5: Solve for x
    x = 1,749,259.97/1,528.13
  6. Step 6: Final answer
    x = 1,144.71

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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.