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Finding the Fourth Proportional to 2,290.34, 3,427.99 and 1,739.49

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Solution

The fourth proportional to 2,290.34, 3,427.99 and 1,739.49 is: 2,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.34 : 3,427.99 = 1,739.49 : x
  2. Step 2: Convert to fraction form
    2,290.34/3,427.99 = 1,739.49/x
  3. Step 3: Cross multiply
    2,290.34x = 3,427.99 × 1,739.49
  4. Step 4: Simplify right side
    2,290.34x = 5,962,937.12
  5. Step 5: Solve for x
    x = 5,962,937.12/2,290.34
  6. Step 6: Final answer
    x = 2,603.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.