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Finding the Fourth Proportional to 2,048.10, 3,071.78 and 937.27

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Solution

The fourth proportional to 2,048.10, 3,071.78 and 937.27 is: 1,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.10 : 3,071.78 = 937.27 : x
  2. Step 2: Convert to fraction form
    2,048.10/3,071.78 = 937.27/x
  3. Step 3: Cross multiply
    2,048.10x = 3,071.78 × 937.27
  4. Step 4: Simplify right side
    2,048.10x = 2,879,087.24
  5. Step 5: Solve for x
    x = 2,879,087.24/2,048.10
  6. Step 6: Final answer
    x = 1,405.74

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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.