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Finding the Fourth Proportional to 2,737.01, 4,104.47 and 981.54

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Solution

The fourth proportional to 2,737.01, 4,104.47 and 981.54 is: 1,471.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.01 : 4,104.47 = 981.54 : x
  2. Step 2: Convert to fraction form
    2,737.01/4,104.47 = 981.54/x
  3. Step 3: Cross multiply
    2,737.01x = 4,104.47 × 981.54
  4. Step 4: Simplify right side
    2,737.01x = 4,028,701.48
  5. Step 5: Solve for x
    x = 4,028,701.48/2,737.01
  6. Step 6: Final answer
    x = 1,471.94

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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.