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Finding the Fourth Proportional to 2,065, 2,844.72 and 1,735.30

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Solution

The fourth proportional to 2,065, 2,844.72 and 1,735.30 is: 2,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065 : 2,844.72 = 1,735.30 : x
  2. Step 2: Convert to fraction form
    2,065/2,844.72 = 1,735.30/x
  3. Step 3: Cross multiply
    2,065x = 2,844.72 × 1,735.30
  4. Step 4: Simplify right side
    2,065x = 4,936,442.62
  5. Step 5: Solve for x
    x = 4,936,442.62/2,065
  6. Step 6: Final answer
    x = 2,390.53

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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.