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Finding the Fourth Proportional to 2,170.19, 2,993.90 and 1,285.49

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Solution

The fourth proportional to 2,170.19, 2,993.90 and 1,285.49 is: 1,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.19 : 2,993.90 = 1,285.49 : x
  2. Step 2: Convert to fraction form
    2,170.19/2,993.90 = 1,285.49/x
  3. Step 3: Cross multiply
    2,170.19x = 2,993.90 × 1,285.49
  4. Step 4: Simplify right side
    2,170.19x = 3,848,607.11
  5. Step 5: Solve for x
    x = 3,848,607.11/2,170.19
  6. Step 6: Final answer
    x = 1,773.40

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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.