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Finding the Fourth Proportional to 1,675.08, 2,500.62 and 1,456.44

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Solution

The fourth proportional to 1,675.08, 2,500.62 and 1,456.44 is: 2,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.08 : 2,500.62 = 1,456.44 : x
  2. Step 2: Convert to fraction form
    1,675.08/2,500.62 = 1,456.44/x
  3. Step 3: Cross multiply
    1,675.08x = 2,500.62 × 1,456.44
  4. Step 4: Simplify right side
    1,675.08x = 3,642,002.99
  5. Step 5: Solve for x
    x = 3,642,002.99/1,675.08
  6. Step 6: Final answer
    x = 2,174.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.