Home / 1,682.36-2,523.14-707.96

Finding the Fourth Proportional to 1,682.36, 2,523.14 and 707.96

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Solution

The fourth proportional to 1,682.36, 2,523.14 and 707.96 is: 1,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.36 : 2,523.14 = 707.96 : x
  2. Step 2: Convert to fraction form
    1,682.36/2,523.14 = 707.96/x
  3. Step 3: Cross multiply
    1,682.36x = 2,523.14 × 707.96
  4. Step 4: Simplify right side
    1,682.36x = 1,786,282.19
  5. Step 5: Solve for x
    x = 1,786,282.19/1,682.36
  6. Step 6: Final answer
    x = 1,061.77

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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.