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Finding the Fourth Proportional to 2,059.01, 2,840.99 and 1,219.98

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Solution

The fourth proportional to 2,059.01, 2,840.99 and 1,219.98 is: 1,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.01 : 2,840.99 = 1,219.98 : x
  2. Step 2: Convert to fraction form
    2,059.01/2,840.99 = 1,219.98/x
  3. Step 3: Cross multiply
    2,059.01x = 2,840.99 × 1,219.98
  4. Step 4: Simplify right side
    2,059.01x = 3,465,936.78
  5. Step 5: Solve for x
    x = 3,465,936.78/2,059.01
  6. Step 6: Final answer
    x = 1,683.30

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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.