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Finding the Fourth Proportional to 3,196.99, 4,412.46 and 1,799.74

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Solution

The fourth proportional to 3,196.99, 4,412.46 and 1,799.74 is: 2,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.99 : 4,412.46 = 1,799.74 : x
  2. Step 2: Convert to fraction form
    3,196.99/4,412.46 = 1,799.74/x
  3. Step 3: Cross multiply
    3,196.99x = 4,412.46 × 1,799.74
  4. Step 4: Simplify right side
    3,196.99x = 7,941,280.76
  5. Step 5: Solve for x
    x = 7,941,280.76/3,196.99
  6. Step 6: Final answer
    x = 2,483.99

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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.