Home / 2,277.72-3,416.59-696.46

Finding the Fourth Proportional to 2,277.72, 3,416.59 and 696.46

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Solution

The fourth proportional to 2,277.72, 3,416.59 and 696.46 is: 1,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.72 : 3,416.59 = 696.46 : x
  2. Step 2: Convert to fraction form
    2,277.72/3,416.59 = 696.46/x
  3. Step 3: Cross multiply
    2,277.72x = 3,416.59 × 696.46
  4. Step 4: Simplify right side
    2,277.72x = 2,379,518.27
  5. Step 5: Solve for x
    x = 2,379,518.27/2,277.72
  6. Step 6: Final answer
    x = 1,044.69

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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.