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Finding the Fourth Proportional to 1,667.28, 2,498.19 and 571.05

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Solution

The fourth proportional to 1,667.28, 2,498.19 and 571.05 is: 855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.28 : 2,498.19 = 571.05 : x
  2. Step 2: Convert to fraction form
    1,667.28/2,498.19 = 571.05/x
  3. Step 3: Cross multiply
    1,667.28x = 2,498.19 × 571.05
  4. Step 4: Simplify right side
    1,667.28x = 1,426,589.26
  5. Step 5: Solve for x
    x = 1,426,589.26/1,667.28
  6. Step 6: Final answer
    x = 855.64

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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.