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Finding the Fourth Proportional to 1,963.10, 2,709.22 and 1,298.80

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Solution

The fourth proportional to 1,963.10, 2,709.22 and 1,298.80 is: 1,792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.10 : 2,709.22 = 1,298.80 : x
  2. Step 2: Convert to fraction form
    1,963.10/2,709.22 = 1,298.80/x
  3. Step 3: Cross multiply
    1,963.10x = 2,709.22 × 1,298.80
  4. Step 4: Simplify right side
    1,963.10x = 3,518,734.94
  5. Step 5: Solve for x
    x = 3,518,734.94/1,963.10
  6. Step 6: Final answer
    x = 1,792.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.