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Finding the Fourth Proportional to 1,696.06, 2,543.68 and 1,239.22

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Solution

The fourth proportional to 1,696.06, 2,543.68 and 1,239.22 is: 1,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.06 : 2,543.68 = 1,239.22 : x
  2. Step 2: Convert to fraction form
    1,696.06/2,543.68 = 1,239.22/x
  3. Step 3: Cross multiply
    1,696.06x = 2,543.68 × 1,239.22
  4. Step 4: Simplify right side
    1,696.06x = 3,152,179.13
  5. Step 5: Solve for x
    x = 3,152,179.13/1,696.06
  6. Step 6: Final answer
    x = 1,858.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.