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Finding the Fourth Proportional to 2,649.45, 3,652.92 and 1,703.57

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Solution

The fourth proportional to 2,649.45, 3,652.92 and 1,703.57 is: 2,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.45 : 3,652.92 = 1,703.57 : x
  2. Step 2: Convert to fraction form
    2,649.45/3,652.92 = 1,703.57/x
  3. Step 3: Cross multiply
    2,649.45x = 3,652.92 × 1,703.57
  4. Step 4: Simplify right side
    2,649.45x = 6,223,004.92
  5. Step 5: Solve for x
    x = 6,223,004.92/2,649.45
  6. Step 6: Final answer
    x = 2,348.79

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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.