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Finding the Fourth Proportional to 2,035.56, 3,054.34 and 2,002.80

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Solution

The fourth proportional to 2,035.56, 3,054.34 and 2,002.80 is: 3,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.56 : 3,054.34 = 2,002.80 : x
  2. Step 2: Convert to fraction form
    2,035.56/3,054.34 = 2,002.80/x
  3. Step 3: Cross multiply
    2,035.56x = 3,054.34 × 2,002.80
  4. Step 4: Simplify right side
    2,035.56x = 6,117,232.15
  5. Step 5: Solve for x
    x = 6,117,232.15/2,035.56
  6. Step 6: Final answer
    x = 3,005.18

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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.