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Finding the Fourth Proportional to 1,696.68, 2,543.27 and 1,003.21

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Solution

The fourth proportional to 1,696.68, 2,543.27 and 1,003.21 is: 1,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.68 : 2,543.27 = 1,003.21 : x
  2. Step 2: Convert to fraction form
    1,696.68/2,543.27 = 1,003.21/x
  3. Step 3: Cross multiply
    1,696.68x = 2,543.27 × 1,003.21
  4. Step 4: Simplify right side
    1,696.68x = 2,551,422.52
  5. Step 5: Solve for x
    x = 2,551,422.52/1,696.68
  6. Step 6: Final answer
    x = 1,503.77

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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.