Home / 1,429.19-2,145.83-814.13

Finding the Fourth Proportional to 1,429.19, 2,145.83 and 814.13

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Solution

The fourth proportional to 1,429.19, 2,145.83 and 814.13 is: 1,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.19 : 2,145.83 = 814.13 : x
  2. Step 2: Convert to fraction form
    1,429.19/2,145.83 = 814.13/x
  3. Step 3: Cross multiply
    1,429.19x = 2,145.83 × 814.13
  4. Step 4: Simplify right side
    1,429.19x = 1,746,984.58
  5. Step 5: Solve for x
    x = 1,746,984.58/1,429.19
  6. Step 6: Final answer
    x = 1,222.36

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1.5x scale

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.