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Finding the Fourth Proportional to 1,652.69, 2,280.03 and 1,093.43

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Solution

The fourth proportional to 1,652.69, 2,280.03 and 1,093.43 is: 1,508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.69 : 2,280.03 = 1,093.43 : x
  2. Step 2: Convert to fraction form
    1,652.69/2,280.03 = 1,093.43/x
  3. Step 3: Cross multiply
    1,652.69x = 2,280.03 × 1,093.43
  4. Step 4: Simplify right side
    1,652.69x = 2,493,053.20
  5. Step 5: Solve for x
    x = 2,493,053.20/1,652.69
  6. Step 6: Final answer
    x = 1,508.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.