Home / 1,682.07-2,523.30-707.91

Finding the Fourth Proportional to 1,682.07, 2,523.30 and 707.91

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Solution

The fourth proportional to 1,682.07, 2,523.30 and 707.91 is: 1,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.07 : 2,523.30 = 707.91 : x
  2. Step 2: Convert to fraction form
    1,682.07/2,523.30 = 707.91/x
  3. Step 3: Cross multiply
    1,682.07x = 2,523.30 × 707.91
  4. Step 4: Simplify right side
    1,682.07x = 1,786,269.30
  5. Step 5: Solve for x
    x = 1,786,269.30/1,682.07
  6. Step 6: Final answer
    x = 1,061.95

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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.