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Finding the Fourth Proportional to 2,071.02, 3,104.61 and 754.45

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Solution

The fourth proportional to 2,071.02, 3,104.61 and 754.45 is: 1,130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.02 : 3,104.61 = 754.45 : x
  2. Step 2: Convert to fraction form
    2,071.02/3,104.61 = 754.45/x
  3. Step 3: Cross multiply
    2,071.02x = 3,104.61 × 754.45
  4. Step 4: Simplify right side
    2,071.02x = 2,342,273.01
  5. Step 5: Solve for x
    x = 2,342,273.01/2,071.02
  6. Step 6: Final answer
    x = 1,130.98

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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.