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Finding the Fourth Proportional to 2,606.45, 3,596.90 and 1,427.51

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Solution

The fourth proportional to 2,606.45, 3,596.90 and 1,427.51 is: 1,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.45 : 3,596.90 = 1,427.51 : x
  2. Step 2: Convert to fraction form
    2,606.45/3,596.90 = 1,427.51/x
  3. Step 3: Cross multiply
    2,606.45x = 3,596.90 × 1,427.51
  4. Step 4: Simplify right side
    2,606.45x = 5,134,603.58
  5. Step 5: Solve for x
    x = 5,134,603.58/2,606.45
  6. Step 6: Final answer
    x = 1,969.96

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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.