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Finding the Fourth Proportional to 1,696.13, 2,543.65 and 541.61

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Solution

The fourth proportional to 1,696.13, 2,543.65 and 541.61 is: 812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.13 : 2,543.65 = 541.61 : x
  2. Step 2: Convert to fraction form
    1,696.13/2,543.65 = 541.61/x
  3. Step 3: Cross multiply
    1,696.13x = 2,543.65 × 541.61
  4. Step 4: Simplify right side
    1,696.13x = 1,377,666.28
  5. Step 5: Solve for x
    x = 1,377,666.28/1,696.13
  6. Step 6: Final answer
    x = 812.24

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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.