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Finding the Fourth Proportional to 2,054.01, 3,081.16 and 883.74

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Solution

The fourth proportional to 2,054.01, 3,081.16 and 883.74 is: 1,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.01 : 3,081.16 = 883.74 : x
  2. Step 2: Convert to fraction form
    2,054.01/3,081.16 = 883.74/x
  3. Step 3: Cross multiply
    2,054.01x = 3,081.16 × 883.74
  4. Step 4: Simplify right side
    2,054.01x = 2,722,933.49
  5. Step 5: Solve for x
    x = 2,722,933.49/2,054.01
  6. Step 6: Final answer
    x = 1,325.67

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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.