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Finding the Fourth Proportional to 2,152.07, 2,964.74 and 2,022.87

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Solution

The fourth proportional to 2,152.07, 2,964.74 and 2,022.87 is: 2,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.07 : 2,964.74 = 2,022.87 : x
  2. Step 2: Convert to fraction form
    2,152.07/2,964.74 = 2,022.87/x
  3. Step 3: Cross multiply
    2,152.07x = 2,964.74 × 2,022.87
  4. Step 4: Simplify right side
    2,152.07x = 5,997,283.60
  5. Step 5: Solve for x
    x = 5,997,283.60/2,152.07
  6. Step 6: Final answer
    x = 2,786.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.