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Finding the Fourth Proportional to 2,798.56, 3,861.93 and 1,522.40

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Solution

The fourth proportional to 2,798.56, 3,861.93 and 1,522.40 is: 2,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.56 : 3,861.93 = 1,522.40 : x
  2. Step 2: Convert to fraction form
    2,798.56/3,861.93 = 1,522.40/x
  3. Step 3: Cross multiply
    2,798.56x = 3,861.93 × 1,522.40
  4. Step 4: Simplify right side
    2,798.56x = 5,879,410.35
  5. Step 5: Solve for x
    x = 5,879,410.35/2,798.56
  6. Step 6: Final answer
    x = 2,100.87

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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.