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Finding the Fourth Proportional to 2,797.86, 4,195.82 and 1,154.10

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Solution

The fourth proportional to 2,797.86, 4,195.82 and 1,154.10 is: 1,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.86 : 4,195.82 = 1,154.10 : x
  2. Step 2: Convert to fraction form
    2,797.86/4,195.82 = 1,154.10/x
  3. Step 3: Cross multiply
    2,797.86x = 4,195.82 × 1,154.10
  4. Step 4: Simplify right side
    2,797.86x = 4,842,395.86
  5. Step 5: Solve for x
    x = 4,842,395.86/2,797.86
  6. Step 6: Final answer
    x = 1,730.75

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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.