Home / 1,882.59-2,823.91-713.13

Finding the Fourth Proportional to 1,882.59, 2,823.91 and 713.13

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Solution

The fourth proportional to 1,882.59, 2,823.91 and 713.13 is: 1,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.59 : 2,823.91 = 713.13 : x
  2. Step 2: Convert to fraction form
    1,882.59/2,823.91 = 713.13/x
  3. Step 3: Cross multiply
    1,882.59x = 2,823.91 × 713.13
  4. Step 4: Simplify right side
    1,882.59x = 2,013,810.01
  5. Step 5: Solve for x
    x = 2,013,810.01/1,882.59
  6. Step 6: Final answer
    x = 1,069.70

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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.