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Finding the Fourth Proportional to 3,285.81, 4,927.10 and 1,094.49

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Solution

The fourth proportional to 3,285.81, 4,927.10 and 1,094.49 is: 1,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.81 : 4,927.10 = 1,094.49 : x
  2. Step 2: Convert to fraction form
    3,285.81/4,927.10 = 1,094.49/x
  3. Step 3: Cross multiply
    3,285.81x = 4,927.10 × 1,094.49
  4. Step 4: Simplify right side
    3,285.81x = 5,392,656.21
  5. Step 5: Solve for x
    x = 5,392,656.21/3,285.81
  6. Step 6: Final answer
    x = 1,641.20

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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.