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Finding the Fourth Proportional to 1,715.38, 2,573.03 and 1,669.82

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Solution

The fourth proportional to 1,715.38, 2,573.03 and 1,669.82 is: 2,504.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.38 : 2,573.03 = 1,669.82 : x
  2. Step 2: Convert to fraction form
    1,715.38/2,573.03 = 1,669.82/x
  3. Step 3: Cross multiply
    1,715.38x = 2,573.03 × 1,669.82
  4. Step 4: Simplify right side
    1,715.38x = 4,296,488.26
  5. Step 5: Solve for x
    x = 4,296,488.26/1,715.38
  6. Step 6: Final answer
    x = 2,504.69

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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.