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Finding the Fourth Proportional to 2,603.44, 3,589.97 and 2,127.78

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Solution

The fourth proportional to 2,603.44, 3,589.97 and 2,127.78 is: 2,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.44 : 3,589.97 = 2,127.78 : x
  2. Step 2: Convert to fraction form
    2,603.44/3,589.97 = 2,127.78/x
  3. Step 3: Cross multiply
    2,603.44x = 3,589.97 × 2,127.78
  4. Step 4: Simplify right side
    2,603.44x = 7,638,666.37
  5. Step 5: Solve for x
    x = 7,638,666.37/2,603.44
  6. Step 6: Final answer
    x = 2,934.07

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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.