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Finding the Fourth Proportional to 2,048.02, 3,071.55 and 951.70

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Solution

The fourth proportional to 2,048.02, 3,071.55 and 951.70 is: 1,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.02 : 3,071.55 = 951.70 : x
  2. Step 2: Convert to fraction form
    2,048.02/3,071.55 = 951.70/x
  3. Step 3: Cross multiply
    2,048.02x = 3,071.55 × 951.70
  4. Step 4: Simplify right side
    2,048.02x = 2,923,194.14
  5. Step 5: Solve for x
    x = 2,923,194.14/2,048.02
  6. Step 6: Final answer
    x = 1,427.33

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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.