Home / 2,256.51-3,385.12-696.14

Finding the Fourth Proportional to 2,256.51, 3,385.12 and 696.14

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Solution

The fourth proportional to 2,256.51, 3,385.12 and 696.14 is: 1,044.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.51 : 3,385.12 = 696.14 : x
  2. Step 2: Convert to fraction form
    2,256.51/3,385.12 = 696.14/x
  3. Step 3: Cross multiply
    2,256.51x = 3,385.12 × 696.14
  4. Step 4: Simplify right side
    2,256.51x = 2,356,517.44
  5. Step 5: Solve for x
    x = 2,356,517.44/2,256.51
  6. Step 6: Final answer
    x = 1,044.32

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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.