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Finding the Fourth Proportional to 2,148.94, 3,217.94 and 1,416.30

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Solution

The fourth proportional to 2,148.94, 3,217.94 and 1,416.30 is: 2,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.94 : 3,217.94 = 1,416.30 : x
  2. Step 2: Convert to fraction form
    2,148.94/3,217.94 = 1,416.30/x
  3. Step 3: Cross multiply
    2,148.94x = 3,217.94 × 1,416.30
  4. Step 4: Simplify right side
    2,148.94x = 4,557,562.55
  5. Step 5: Solve for x
    x = 4,557,562.55/2,148.94
  6. Step 6: Final answer
    x = 2,120.84

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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.