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Finding the Fourth Proportional to 2,181.89, 3,011.02 and 1,187.21

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Solution

The fourth proportional to 2,181.89, 3,011.02 and 1,187.21 is: 1,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.89 : 3,011.02 = 1,187.21 : x
  2. Step 2: Convert to fraction form
    2,181.89/3,011.02 = 1,187.21/x
  3. Step 3: Cross multiply
    2,181.89x = 3,011.02 × 1,187.21
  4. Step 4: Simplify right side
    2,181.89x = 3,574,707.35
  5. Step 5: Solve for x
    x = 3,574,707.35/2,181.89
  6. Step 6: Final answer
    x = 1,638.36

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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.