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Finding the Fourth Proportional to 2,105.74, 3,157.25 and 874.00

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Solution

The fourth proportional to 2,105.74, 3,157.25 and 874.00 is: 1,310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.74 : 3,157.25 = 874.00 : x
  2. Step 2: Convert to fraction form
    2,105.74/3,157.25 = 874.00/x
  3. Step 3: Cross multiply
    2,105.74x = 3,157.25 × 874.00
  4. Step 4: Simplify right side
    2,105.74x = 2,759,421.81
  5. Step 5: Solve for x
    x = 2,759,421.81/2,105.74
  6. Step 6: Final answer
    x = 1,310.43

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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.