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Finding the Fourth Proportional to 2,181.60, 3,272.40 and 2,117.60

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Solution

The fourth proportional to 2,181.60, 3,272.40 and 2,117.60 is: 3,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.60 : 3,272.40 = 2,117.60 : x
  2. Step 2: Convert to fraction form
    2,181.60/3,272.40 = 2,117.60/x
  3. Step 3: Cross multiply
    2,181.60x = 3,272.40 × 2,117.60
  4. Step 4: Simplify right side
    2,181.60x = 6,929,634.24
  5. Step 5: Solve for x
    x = 6,929,634.24/2,181.60
  6. Step 6: Final answer
    x = 3,176.40

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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.