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Finding the Fourth Proportional to 2,708.24, 4,053 and 1,667.84

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Solution

The fourth proportional to 2,708.24, 4,053 and 1,667.84 is: 2,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.24 : 4,053 = 1,667.84 : x
  2. Step 2: Convert to fraction form
    2,708.24/4,053 = 1,667.84/x
  3. Step 3: Cross multiply
    2,708.24x = 4,053 × 1,667.84
  4. Step 4: Simplify right side
    2,708.24x = 6,759,755.52
  5. Step 5: Solve for x
    x = 6,759,755.52/2,708.24
  6. Step 6: Final answer
    x = 2,496.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.