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Finding the Fourth Proportional to 2,256.26, 3,384.53 and 696.40

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Solution

The fourth proportional to 2,256.26, 3,384.53 and 696.40 is: 1,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.26 : 3,384.53 = 696.40 : x
  2. Step 2: Convert to fraction form
    2,256.26/3,384.53 = 696.40/x
  3. Step 3: Cross multiply
    2,256.26x = 3,384.53 × 696.40
  4. Step 4: Simplify right side
    2,256.26x = 2,356,981.28
  5. Step 5: Solve for x
    x = 2,356,981.28/2,256.26
  6. Step 6: Final answer
    x = 1,044.64

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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.