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Finding the Fourth Proportional to 2,992.01, 4,488 and 1,427.27

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Solution

The fourth proportional to 2,992.01, 4,488 and 1,427.27 is: 2,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.01 : 4,488 = 1,427.27 : x
  2. Step 2: Convert to fraction form
    2,992.01/4,488 = 1,427.27/x
  3. Step 3: Cross multiply
    2,992.01x = 4,488 × 1,427.27
  4. Step 4: Simplify right side
    2,992.01x = 6,405,587.76
  5. Step 5: Solve for x
    x = 6,405,587.76/2,992.01
  6. Step 6: Final answer
    x = 2,140.90

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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.