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Finding the Fourth Proportional to 3,196.26, 4,410.99 and 1,798.74

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Solution

The fourth proportional to 3,196.26, 4,410.99 and 1,798.74 is: 2,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.26 : 4,410.99 = 1,798.74 : x
  2. Step 2: Convert to fraction form
    3,196.26/4,410.99 = 1,798.74/x
  3. Step 3: Cross multiply
    3,196.26x = 4,410.99 × 1,798.74
  4. Step 4: Simplify right side
    3,196.26x = 7,934,224.15
  5. Step 5: Solve for x
    x = 7,934,224.15/3,196.26
  6. Step 6: Final answer
    x = 2,482.35

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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.