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Finding the Fourth Proportional to 2,606.78, 3,597.33 and 1,427.78

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Solution

The fourth proportional to 2,606.78, 3,597.33 and 1,427.78 is: 1,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.78 : 3,597.33 = 1,427.78 : x
  2. Step 2: Convert to fraction form
    2,606.78/3,597.33 = 1,427.78/x
  3. Step 3: Cross multiply
    2,606.78x = 3,597.33 × 1,427.78
  4. Step 4: Simplify right side
    2,606.78x = 5,136,195.83
  5. Step 5: Solve for x
    x = 5,136,195.83/2,606.78
  6. Step 6: Final answer
    x = 1,970.32

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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.