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Finding the Fourth Proportional to 2,478.59, 3,420.20 and 1,416.62

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Solution

The fourth proportional to 2,478.59, 3,420.20 and 1,416.62 is: 1,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.59 : 3,420.20 = 1,416.62 : x
  2. Step 2: Convert to fraction form
    2,478.59/3,420.20 = 1,416.62/x
  3. Step 3: Cross multiply
    2,478.59x = 3,420.20 × 1,416.62
  4. Step 4: Simplify right side
    2,478.59x = 4,845,099.54
  5. Step 5: Solve for x
    x = 4,845,099.54/2,478.59
  6. Step 6: Final answer
    x = 1,954.78

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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.