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Finding the Fourth Proportional to 2,169.70, 2,994 and 1,273.35

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Solution

The fourth proportional to 2,169.70, 2,994 and 1,273.35 is: 1,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.70 : 2,994 = 1,273.35 : x
  2. Step 2: Convert to fraction form
    2,169.70/2,994 = 1,273.35/x
  3. Step 3: Cross multiply
    2,169.70x = 2,994 × 1,273.35
  4. Step 4: Simplify right side
    2,169.70x = 3,812,409.90
  5. Step 5: Solve for x
    x = 3,812,409.90/2,169.70
  6. Step 6: Final answer
    x = 1,757.11

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