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Finding the Fourth Proportional to 2,735.50, 3,775.02 and 1,493.50

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Solution

The fourth proportional to 2,735.50, 3,775.02 and 1,493.50 is: 2,061.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.50 : 3,775.02 = 1,493.50 : x
  2. Step 2: Convert to fraction form
    2,735.50/3,775.02 = 1,493.50/x
  3. Step 3: Cross multiply
    2,735.50x = 3,775.02 × 1,493.50
  4. Step 4: Simplify right side
    2,735.50x = 5,637,992.37
  5. Step 5: Solve for x
    x = 5,637,992.37/2,735.50
  6. Step 6: Final answer
    x = 2,061.05

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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.