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Finding the Fourth Proportional to 2,735.16, 3,774.52 and 1,493.16

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Solution

The fourth proportional to 2,735.16, 3,774.52 and 1,493.16 is: 2,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.16 : 3,774.52 = 1,493.16 : x
  2. Step 2: Convert to fraction form
    2,735.16/3,774.52 = 1,493.16/x
  3. Step 3: Cross multiply
    2,735.16x = 3,774.52 × 1,493.16
  4. Step 4: Simplify right side
    2,735.16x = 5,635,941.60
  5. Step 5: Solve for x
    x = 5,635,941.60/2,735.16
  6. Step 6: Final answer
    x = 2,060.56

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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.