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Finding the Fourth Proportional to 2,982.60, 4,493.79 and 2,746.44

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Solution

The fourth proportional to 2,982.60, 4,493.79 and 2,746.44 is: 4,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.60 : 4,493.79 = 2,746.44 : x
  2. Step 2: Convert to fraction form
    2,982.60/4,493.79 = 2,746.44/x
  3. Step 3: Cross multiply
    2,982.60x = 4,493.79 × 2,746.44
  4. Step 4: Simplify right side
    2,982.60x = 12,341,924.61
  5. Step 5: Solve for x
    x = 12,341,924.61/2,982.60
  6. Step 6: Final answer
    x = 4,137.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.