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Finding the Fourth Proportional to 2,709.37, 3,738.95 and 1,530.55

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Solution

The fourth proportional to 2,709.37, 3,738.95 and 1,530.55 is: 2,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.37 : 3,738.95 = 1,530.55 : x
  2. Step 2: Convert to fraction form
    2,709.37/3,738.95 = 1,530.55/x
  3. Step 3: Cross multiply
    2,709.37x = 3,738.95 × 1,530.55
  4. Step 4: Simplify right side
    2,709.37x = 5,722,649.92
  5. Step 5: Solve for x
    x = 5,722,649.92/2,709.37
  6. Step 6: Final answer
    x = 2,112.17

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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.