Home / 1,429.87-2,142.03-811.70

Finding the Fourth Proportional to 1,429.87, 2,142.03 and 811.70

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Solution

The fourth proportional to 1,429.87, 2,142.03 and 811.70 is: 1,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.87 : 2,142.03 = 811.70 : x
  2. Step 2: Convert to fraction form
    1,429.87/2,142.03 = 811.70/x
  3. Step 3: Cross multiply
    1,429.87x = 2,142.03 × 811.70
  4. Step 4: Simplify right side
    1,429.87x = 1,738,685.75
  5. Step 5: Solve for x
    x = 1,738,685.75/1,429.87
  6. Step 6: Final answer
    x = 1,215.98

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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.