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Finding the Fourth Proportional to 2,735.82, 3,774.84 and 1,895.22

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Solution

The fourth proportional to 2,735.82, 3,774.84 and 1,895.22 is: 2,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.82 : 3,774.84 = 1,895.22 : x
  2. Step 2: Convert to fraction form
    2,735.82/3,774.84 = 1,895.22/x
  3. Step 3: Cross multiply
    2,735.82x = 3,774.84 × 1,895.22
  4. Step 4: Simplify right side
    2,735.82x = 7,154,152.26
  5. Step 5: Solve for x
    x = 7,154,152.26/2,735.82
  6. Step 6: Final answer
    x = 2,614.99

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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.