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Finding the Fourth Proportional to 1,799.58, 2,696.72 and 874.07

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Solution

The fourth proportional to 1,799.58, 2,696.72 and 874.07 is: 1,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.58 : 2,696.72 = 874.07 : x
  2. Step 2: Convert to fraction form
    1,799.58/2,696.72 = 874.07/x
  3. Step 3: Cross multiply
    1,799.58x = 2,696.72 × 874.07
  4. Step 4: Simplify right side
    1,799.58x = 2,357,131.94
  5. Step 5: Solve for x
    x = 2,357,131.94/1,799.58
  6. Step 6: Final answer
    x = 1,309.83

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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.