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Finding the Fourth Proportional to 2,709.07, 3,738.25 and 1,529.92

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Solution

The fourth proportional to 2,709.07, 3,738.25 and 1,529.92 is: 2,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.07 : 3,738.25 = 1,529.92 : x
  2. Step 2: Convert to fraction form
    2,709.07/3,738.25 = 1,529.92/x
  3. Step 3: Cross multiply
    2,709.07x = 3,738.25 × 1,529.92
  4. Step 4: Simplify right side
    2,709.07x = 5,719,197.10
  5. Step 5: Solve for x
    x = 5,719,197.10/2,709.07
  6. Step 6: Final answer
    x = 2,111.13

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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.