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Finding the Fourth Proportional to 2,181.80, 3,266.54 and 2,009.58

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Solution

The fourth proportional to 2,181.80, 3,266.54 and 2,009.58 is: 3,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.80 : 3,266.54 = 2,009.58 : x
  2. Step 2: Convert to fraction form
    2,181.80/3,266.54 = 2,009.58/x
  3. Step 3: Cross multiply
    2,181.80x = 3,266.54 × 2,009.58
  4. Step 4: Simplify right side
    2,181.80x = 6,564,373.45
  5. Step 5: Solve for x
    x = 6,564,373.45/2,181.80
  6. Step 6: Final answer
    x = 3,008.70

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