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Finding the Fourth Proportional to 2,182.08, 3,274.56 and 2,035.20

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Solution

The fourth proportional to 2,182.08, 3,274.56 and 2,035.20 is: 3,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.08 : 3,274.56 = 2,035.20 : x
  2. Step 2: Convert to fraction form
    2,182.08/3,274.56 = 2,035.20/x
  3. Step 3: Cross multiply
    2,182.08x = 3,274.56 × 2,035.20
  4. Step 4: Simplify right side
    2,182.08x = 6,664,384.51
  5. Step 5: Solve for x
    x = 6,664,384.51/2,182.08
  6. Step 6: Final answer
    x = 3,054.14

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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.