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Finding the Fourth Proportional to 2,841.54, 4,260.64 and 1,197.20

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Solution

The fourth proportional to 2,841.54, 4,260.64 and 1,197.20 is: 1,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.54 : 4,260.64 = 1,197.20 : x
  2. Step 2: Convert to fraction form
    2,841.54/4,260.64 = 1,197.20/x
  3. Step 3: Cross multiply
    2,841.54x = 4,260.64 × 1,197.20
  4. Step 4: Simplify right side
    2,841.54x = 5,100,838.21
  5. Step 5: Solve for x
    x = 5,100,838.21/2,841.54
  6. Step 6: Final answer
    x = 1,795.10

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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.