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Finding the Fourth Proportional to 3,441.66, 4,746.54 and 2,181.30

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Solution

The fourth proportional to 3,441.66, 4,746.54 and 2,181.30 is: 3,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.66 : 4,746.54 = 2,181.30 : x
  2. Step 2: Convert to fraction form
    3,441.66/4,746.54 = 2,181.30/x
  3. Step 3: Cross multiply
    3,441.66x = 4,746.54 × 2,181.30
  4. Step 4: Simplify right side
    3,441.66x = 10,353,627.70
  5. Step 5: Solve for x
    x = 10,353,627.70/3,441.66
  6. Step 6: Final answer
    x = 3,008.32

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