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Finding the Fourth Proportional to 1,984.17, 2,737.02 and 1,285.56

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Solution

The fourth proportional to 1,984.17, 2,737.02 and 1,285.56 is: 1,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.17 : 2,737.02 = 1,285.56 : x
  2. Step 2: Convert to fraction form
    1,984.17/2,737.02 = 1,285.56/x
  3. Step 3: Cross multiply
    1,984.17x = 2,737.02 × 1,285.56
  4. Step 4: Simplify right side
    1,984.17x = 3,518,603.43
  5. Step 5: Solve for x
    x = 3,518,603.43/1,984.17
  6. Step 6: Final answer
    x = 1,773.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.