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Finding the Fourth Proportional to 2,606.22, 3,596.59 and 1,411.22

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Solution

The fourth proportional to 2,606.22, 3,596.59 and 1,411.22 is: 1,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.22 : 3,596.59 = 1,411.22 : x
  2. Step 2: Convert to fraction form
    2,606.22/3,596.59 = 1,411.22/x
  3. Step 3: Cross multiply
    2,606.22x = 3,596.59 × 1,411.22
  4. Step 4: Simplify right side
    2,606.22x = 5,075,562.33
  5. Step 5: Solve for x
    x = 5,075,562.33/2,606.22
  6. Step 6: Final answer
    x = 1,947.48

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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.