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Finding the Fourth Proportional to 2,189.76, 3,021 and 1,444.10

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Solution

The fourth proportional to 2,189.76, 3,021 and 1,444.10 is: 1,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.76 : 3,021 = 1,444.10 : x
  2. Step 2: Convert to fraction form
    2,189.76/3,021 = 1,444.10/x
  3. Step 3: Cross multiply
    2,189.76x = 3,021 × 1,444.10
  4. Step 4: Simplify right side
    2,189.76x = 4,362,626.10
  5. Step 5: Solve for x
    x = 4,362,626.10/2,189.76
  6. Step 6: Final answer
    x = 1,992.29

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Why These Related Problems?

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