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Finding the Fourth Proportional to 2,094.89, 3,141.99 and 708.08

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Solution

The fourth proportional to 2,094.89, 3,141.99 and 708.08 is: 1,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.89 : 3,141.99 = 708.08 : x
  2. Step 2: Convert to fraction form
    2,094.89/3,141.99 = 708.08/x
  3. Step 3: Cross multiply
    2,094.89x = 3,141.99 × 708.08
  4. Step 4: Simplify right side
    2,094.89x = 2,224,764.57
  5. Step 5: Solve for x
    x = 2,224,764.57/2,094.89
  6. Step 6: Final answer
    x = 1,062.00

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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.