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Finding the Fourth Proportional to 2,854.35, 4,283.81 and 2,763.23

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Solution

The fourth proportional to 2,854.35, 4,283.81 and 2,763.23 is: 4,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.35 : 4,283.81 = 2,763.23 : x
  2. Step 2: Convert to fraction form
    2,854.35/4,283.81 = 2,763.23/x
  3. Step 3: Cross multiply
    2,854.35x = 4,283.81 × 2,763.23
  4. Step 4: Simplify right side
    2,854.35x = 11,837,127.43
  5. Step 5: Solve for x
    x = 11,837,127.43/2,854.35
  6. Step 6: Final answer
    x = 4,147.05

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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.