Home / 1,882.14-2,823.18-514.14

Finding the Fourth Proportional to 1,882.14, 2,823.18 and 514.14

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Solution

The fourth proportional to 1,882.14, 2,823.18 and 514.14 is: 771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.14 : 2,823.18 = 514.14 : x
  2. Step 2: Convert to fraction form
    1,882.14/2,823.18 = 514.14/x
  3. Step 3: Cross multiply
    1,882.14x = 2,823.18 × 514.14
  4. Step 4: Simplify right side
    1,882.14x = 1,451,509.77
  5. Step 5: Solve for x
    x = 1,451,509.77/1,882.14
  6. Step 6: Final answer
    x = 771.20

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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.