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Finding the Fourth Proportional to 3,167.84, 4,370.27 and 1,823.21

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Solution

The fourth proportional to 3,167.84, 4,370.27 and 1,823.21 is: 2,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.84 : 4,370.27 = 1,823.21 : x
  2. Step 2: Convert to fraction form
    3,167.84/4,370.27 = 1,823.21/x
  3. Step 3: Cross multiply
    3,167.84x = 4,370.27 × 1,823.21
  4. Step 4: Simplify right side
    3,167.84x = 7,967,889.00
  5. Step 5: Solve for x
    x = 7,967,889.00/3,167.84
  6. Step 6: Final answer
    x = 2,515.25

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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.