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Finding the Fourth Proportional to 3,185.53, 4,775.76 and 1,452.94

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Solution

The fourth proportional to 3,185.53, 4,775.76 and 1,452.94 is: 2,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.53 : 4,775.76 = 1,452.94 : x
  2. Step 2: Convert to fraction form
    3,185.53/4,775.76 = 1,452.94/x
  3. Step 3: Cross multiply
    3,185.53x = 4,775.76 × 1,452.94
  4. Step 4: Simplify right side
    3,185.53x = 6,938,880.80
  5. Step 5: Solve for x
    x = 6,938,880.80/3,185.53
  6. Step 6: Final answer
    x = 2,178.25

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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.