Home / 1,952.85-2,930.46-1,029.06

Finding the Fourth Proportional to 1,952.85, 2,930.46 and 1,029.06

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Solution

The fourth proportional to 1,952.85, 2,930.46 and 1,029.06 is: 1,544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.85 : 2,930.46 = 1,029.06 : x
  2. Step 2: Convert to fraction form
    1,952.85/2,930.46 = 1,029.06/x
  3. Step 3: Cross multiply
    1,952.85x = 2,930.46 × 1,029.06
  4. Step 4: Simplify right side
    1,952.85x = 3,015,619.17
  5. Step 5: Solve for x
    x = 3,015,619.17/1,952.85
  6. Step 6: Final answer
    x = 1,544.21

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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.