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Finding the Fourth Proportional to 2,133.30, 3,196.35 and 1,035.30

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Solution

The fourth proportional to 2,133.30, 3,196.35 and 1,035.30 is: 1,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.30 : 3,196.35 = 1,035.30 : x
  2. Step 2: Convert to fraction form
    2,133.30/3,196.35 = 1,035.30/x
  3. Step 3: Cross multiply
    2,133.30x = 3,196.35 × 1,035.30
  4. Step 4: Simplify right side
    2,133.30x = 3,309,181.16
  5. Step 5: Solve for x
    x = 3,309,181.16/2,133.30
  6. Step 6: Final answer
    x = 1,551.20

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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.