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Finding the Fourth Proportional to 2,657.63, 3,667.48 and 1,478.67

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Solution

The fourth proportional to 2,657.63, 3,667.48 and 1,478.67 is: 2,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.63 : 3,667.48 = 1,478.67 : x
  2. Step 2: Convert to fraction form
    2,657.63/3,667.48 = 1,478.67/x
  3. Step 3: Cross multiply
    2,657.63x = 3,667.48 × 1,478.67
  4. Step 4: Simplify right side
    2,657.63x = 5,422,995.83
  5. Step 5: Solve for x
    x = 5,422,995.83/2,657.63
  6. Step 6: Final answer
    x = 2,040.54

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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.