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Finding the Fourth Proportional to 2,054.98, 3,079.62 and 1,129.42

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Solution

The fourth proportional to 2,054.98, 3,079.62 and 1,129.42 is: 1,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.98 : 3,079.62 = 1,129.42 : x
  2. Step 2: Convert to fraction form
    2,054.98/3,079.62 = 1,129.42/x
  3. Step 3: Cross multiply
    2,054.98x = 3,079.62 × 1,129.42
  4. Step 4: Simplify right side
    2,054.98x = 3,478,184.42
  5. Step 5: Solve for x
    x = 3,478,184.42/2,054.98
  6. Step 6: Final answer
    x = 1,692.56

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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.