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Finding the Fourth Proportional to 2,606.50, 3,597.06 and 1,427.56

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Solution

The fourth proportional to 2,606.50, 3,597.06 and 1,427.56 is: 1,970.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.50 : 3,597.06 = 1,427.56 : x
  2. Step 2: Convert to fraction form
    2,606.50/3,597.06 = 1,427.56/x
  3. Step 3: Cross multiply
    2,606.50x = 3,597.06 × 1,427.56
  4. Step 4: Simplify right side
    2,606.50x = 5,135,018.97
  5. Step 5: Solve for x
    x = 5,135,018.97/2,606.50
  6. Step 6: Final answer
    x = 1,970.08

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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.