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Finding the Fourth Proportional to 2,472.09, 3,709.39 and 1,085.07

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Solution

The fourth proportional to 2,472.09, 3,709.39 and 1,085.07 is: 1,628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.09 : 3,709.39 = 1,085.07 : x
  2. Step 2: Convert to fraction form
    2,472.09/3,709.39 = 1,085.07/x
  3. Step 3: Cross multiply
    2,472.09x = 3,709.39 × 1,085.07
  4. Step 4: Simplify right side
    2,472.09x = 4,024,947.81
  5. Step 5: Solve for x
    x = 4,024,947.81/2,472.09
  6. Step 6: Final answer
    x = 1,628.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.