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Finding the Fourth Proportional to 3,196.55, 4,801.80 and 2,278.01

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Solution

The fourth proportional to 3,196.55, 4,801.80 and 2,278.01 is: 3,421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.55 : 4,801.80 = 2,278.01 : x
  2. Step 2: Convert to fraction form
    3,196.55/4,801.80 = 2,278.01/x
  3. Step 3: Cross multiply
    3,196.55x = 4,801.80 × 2,278.01
  4. Step 4: Simplify right side
    3,196.55x = 10,938,530.10
  5. Step 5: Solve for x
    x = 10,938,530.10/3,196.55
  6. Step 6: Final answer
    x = 3,421.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.