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Finding the Fourth Proportional to 2,055.53, 3,083.70 and 1,068.82

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Solution

The fourth proportional to 2,055.53, 3,083.70 and 1,068.82 is: 1,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.53 : 3,083.70 = 1,068.82 : x
  2. Step 2: Convert to fraction form
    2,055.53/3,083.70 = 1,068.82/x
  3. Step 3: Cross multiply
    2,055.53x = 3,083.70 × 1,068.82
  4. Step 4: Simplify right side
    2,055.53x = 3,295,916.19
  5. Step 5: Solve for x
    x = 3,295,916.19/2,055.53
  6. Step 6: Final answer
    x = 1,603.44

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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.