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Finding the Fourth Proportional to 2,657.94, 3,667.74 and 1,478.94

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Solution

The fourth proportional to 2,657.94, 3,667.74 and 1,478.94 is: 2,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.94 : 3,667.74 = 1,478.94 : x
  2. Step 2: Convert to fraction form
    2,657.94/3,667.74 = 1,478.94/x
  3. Step 3: Cross multiply
    2,657.94x = 3,667.74 × 1,478.94
  4. Step 4: Simplify right side
    2,657.94x = 5,424,367.40
  5. Step 5: Solve for x
    x = 5,424,367.40/2,657.94
  6. Step 6: Final answer
    x = 2,040.82

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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.