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Finding the Fourth Proportional to 2,606.82, 3,597.40 and 1,427.88

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Solution

The fourth proportional to 2,606.82, 3,597.40 and 1,427.88 is: 1,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.82 : 3,597.40 = 1,427.88 : x
  2. Step 2: Convert to fraction form
    2,606.82/3,597.40 = 1,427.88/x
  3. Step 3: Cross multiply
    2,606.82x = 3,597.40 × 1,427.88
  4. Step 4: Simplify right side
    2,606.82x = 5,136,655.51
  5. Step 5: Solve for x
    x = 5,136,655.51/2,606.82
  6. Step 6: Final answer
    x = 1,970.47

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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.