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Finding the Fourth Proportional to 2,287.01, 3,434.70 and 2,094.23

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Solution

The fourth proportional to 2,287.01, 3,434.70 and 2,094.23 is: 3,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.01 : 3,434.70 = 2,094.23 : x
  2. Step 2: Convert to fraction form
    2,287.01/3,434.70 = 2,094.23/x
  3. Step 3: Cross multiply
    2,287.01x = 3,434.70 × 2,094.23
  4. Step 4: Simplify right side
    2,287.01x = 7,193,051.78
  5. Step 5: Solve for x
    x = 7,193,051.78/2,287.01
  6. Step 6: Final answer
    x = 3,145.18

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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.