Home / 1,882.10-2,823.15-514.10

Finding the Fourth Proportional to 1,882.10, 2,823.15 and 514.10

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Solution

The fourth proportional to 1,882.10, 2,823.15 and 514.10 is: 771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.10 : 2,823.15 = 514.10 : x
  2. Step 2: Convert to fraction form
    1,882.10/2,823.15 = 514.10/x
  3. Step 3: Cross multiply
    1,882.10x = 2,823.15 × 514.10
  4. Step 4: Simplify right side
    1,882.10x = 1,451,381.42
  5. Step 5: Solve for x
    x = 1,451,381.42/1,882.10
  6. Step 6: Final answer
    x = 771.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.