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Finding the Fourth Proportional to 2,181.99, 3,011.08 and 1,187.27

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Solution

The fourth proportional to 2,181.99, 3,011.08 and 1,187.27 is: 1,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.99 : 3,011.08 = 1,187.27 : x
  2. Step 2: Convert to fraction form
    2,181.99/3,011.08 = 1,187.27/x
  3. Step 3: Cross multiply
    2,181.99x = 3,011.08 × 1,187.27
  4. Step 4: Simplify right side
    2,181.99x = 3,574,964.95
  5. Step 5: Solve for x
    x = 3,574,964.95/2,181.99
  6. Step 6: Final answer
    x = 1,638.40

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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.