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Finding the Fourth Proportional to 1,541.49, 2,311.95 and 984.54

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Solution

The fourth proportional to 1,541.49, 2,311.95 and 984.54 is: 1,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.49 : 2,311.95 = 984.54 : x
  2. Step 2: Convert to fraction form
    1,541.49/2,311.95 = 984.54/x
  3. Step 3: Cross multiply
    1,541.49x = 2,311.95 × 984.54
  4. Step 4: Simplify right side
    1,541.49x = 2,276,207.25
  5. Step 5: Solve for x
    x = 2,276,207.25/1,541.49
  6. Step 6: Final answer
    x = 1,476.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.