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Finding the Fourth Proportional to 1,797.08, 2,684.05 and 1,468.76

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Solution

The fourth proportional to 1,797.08, 2,684.05 and 1,468.76 is: 2,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.08 : 2,684.05 = 1,468.76 : x
  2. Step 2: Convert to fraction form
    1,797.08/2,684.05 = 1,468.76/x
  3. Step 3: Cross multiply
    1,797.08x = 2,684.05 × 1,468.76
  4. Step 4: Simplify right side
    1,797.08x = 3,942,225.28
  5. Step 5: Solve for x
    x = 3,942,225.28/1,797.08
  6. Step 6: Final answer
    x = 2,193.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.