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Finding the Fourth Proportional to 1,647.62, 2,272.32 and 1,483.59

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Solution

The fourth proportional to 1,647.62, 2,272.32 and 1,483.59 is: 2,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.62 : 2,272.32 = 1,483.59 : x
  2. Step 2: Convert to fraction form
    1,647.62/2,272.32 = 1,483.59/x
  3. Step 3: Cross multiply
    1,647.62x = 2,272.32 × 1,483.59
  4. Step 4: Simplify right side
    1,647.62x = 3,371,187.10
  5. Step 5: Solve for x
    x = 3,371,187.10/1,647.62
  6. Step 6: Final answer
    x = 2,046.10

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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.