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Finding the Fourth Proportional to 3,184.02, 4,775.48 and 844.04

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Solution

The fourth proportional to 3,184.02, 4,775.48 and 844.04 is: 1,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.02 : 4,775.48 = 844.04 : x
  2. Step 2: Convert to fraction form
    3,184.02/4,775.48 = 844.04/x
  3. Step 3: Cross multiply
    3,184.02x = 4,775.48 × 844.04
  4. Step 4: Simplify right side
    3,184.02x = 4,030,696.14
  5. Step 5: Solve for x
    x = 4,030,696.14/3,184.02
  6. Step 6: Final answer
    x = 1,265.91

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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.