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Finding the Fourth Proportional to 1,696.06, 2,542.47 and 541.06

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Solution

The fourth proportional to 1,696.06, 2,542.47 and 541.06 is: 811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.06 : 2,542.47 = 541.06 : x
  2. Step 2: Convert to fraction form
    1,696.06/2,542.47 = 541.06/x
  3. Step 3: Cross multiply
    1,696.06x = 2,542.47 × 541.06
  4. Step 4: Simplify right side
    1,696.06x = 1,375,628.82
  5. Step 5: Solve for x
    x = 1,375,628.82/1,696.06
  6. Step 6: Final answer
    x = 811.07

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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.