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Finding the Fourth Proportional to 2,071.51, 3,106.15 and 754.85

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Solution

The fourth proportional to 2,071.51, 3,106.15 and 754.85 is: 1,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.51 : 3,106.15 = 754.85 : x
  2. Step 2: Convert to fraction form
    2,071.51/3,106.15 = 754.85/x
  3. Step 3: Cross multiply
    2,071.51x = 3,106.15 × 754.85
  4. Step 4: Simplify right side
    2,071.51x = 2,344,683.21
  5. Step 5: Solve for x
    x = 2,344,683.21/2,071.51
  6. Step 6: Final answer
    x = 1,131.87

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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.