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Finding the Fourth Proportional to 2,606.94, 3,597.61 and 1,427.98

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Solution

The fourth proportional to 2,606.94, 3,597.61 and 1,427.98 is: 1,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.94 : 3,597.61 = 1,427.98 : x
  2. Step 2: Convert to fraction form
    2,606.94/3,597.61 = 1,427.98/x
  3. Step 3: Cross multiply
    2,606.94x = 3,597.61 × 1,427.98
  4. Step 4: Simplify right side
    2,606.94x = 5,137,315.13
  5. Step 5: Solve for x
    x = 5,137,315.13/2,606.94
  6. Step 6: Final answer
    x = 1,970.63

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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.