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Finding the Fourth Proportional to 2,657.28, 3,667.02 and 1,478.33

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Solution

The fourth proportional to 2,657.28, 3,667.02 and 1,478.33 is: 2,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.28 : 3,667.02 = 1,478.33 : x
  2. Step 2: Convert to fraction form
    2,657.28/3,667.02 = 1,478.33/x
  3. Step 3: Cross multiply
    2,657.28x = 3,667.02 × 1,478.33
  4. Step 4: Simplify right side
    2,657.28x = 5,421,065.68
  5. Step 5: Solve for x
    x = 5,421,065.68/2,657.28
  6. Step 6: Final answer
    x = 2,040.08

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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.