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Finding the Fourth Proportional to 3,196.76, 4,411.93 and 1,799.50

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Solution

The fourth proportional to 3,196.76, 4,411.93 and 1,799.50 is: 2,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.76 : 4,411.93 = 1,799.50 : x
  2. Step 2: Convert to fraction form
    3,196.76/4,411.93 = 1,799.50/x
  3. Step 3: Cross multiply
    3,196.76x = 4,411.93 × 1,799.50
  4. Step 4: Simplify right side
    3,196.76x = 7,939,268.04
  5. Step 5: Solve for x
    x = 7,939,268.04/3,196.76
  6. Step 6: Final answer
    x = 2,483.54

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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.