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Finding the Fourth Proportional to 3,083.64, 4,626.82 and 1,622.46

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Solution

The fourth proportional to 3,083.64, 4,626.82 and 1,622.46 is: 2,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.64 : 4,626.82 = 1,622.46 : x
  2. Step 2: Convert to fraction form
    3,083.64/4,626.82 = 1,622.46/x
  3. Step 3: Cross multiply
    3,083.64x = 4,626.82 × 1,622.46
  4. Step 4: Simplify right side
    3,083.64x = 7,506,830.38
  5. Step 5: Solve for x
    x = 7,506,830.38/3,083.64
  6. Step 6: Final answer
    x = 2,434.41

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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.