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Finding the Fourth Proportional to 2,979.01, 4,464.87 and 2,111.50

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Solution

The fourth proportional to 2,979.01, 4,464.87 and 2,111.50 is: 3,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979.01 : 4,464.87 = 2,111.50 : x
  2. Step 2: Convert to fraction form
    2,979.01/4,464.87 = 2,111.50/x
  3. Step 3: Cross multiply
    2,979.01x = 4,464.87 × 2,111.50
  4. Step 4: Simplify right side
    2,979.01x = 9,427,573.01
  5. Step 5: Solve for x
    x = 9,427,573.01/2,979.01
  6. Step 6: Final answer
    x = 3,164.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.