Home / 2,029.74-3,043.56-933.16

Finding the Fourth Proportional to 2,029.74, 3,043.56 and 933.16

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Solution

The fourth proportional to 2,029.74, 3,043.56 and 933.16 is: 1,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.74 : 3,043.56 = 933.16 : x
  2. Step 2: Convert to fraction form
    2,029.74/3,043.56 = 933.16/x
  3. Step 3: Cross multiply
    2,029.74x = 3,043.56 × 933.16
  4. Step 4: Simplify right side
    2,029.74x = 2,840,128.45
  5. Step 5: Solve for x
    x = 2,840,128.45/2,029.74
  6. Step 6: Final answer
    x = 1,399.26

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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.