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Finding the Fourth Proportional to 2,841.47, 4,255.01 and 2,378.09

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Solution

The fourth proportional to 2,841.47, 4,255.01 and 2,378.09 is: 3,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.47 : 4,255.01 = 2,378.09 : x
  2. Step 2: Convert to fraction form
    2,841.47/4,255.01 = 2,378.09/x
  3. Step 3: Cross multiply
    2,841.47x = 4,255.01 × 2,378.09
  4. Step 4: Simplify right side
    2,841.47x = 10,118,763.57
  5. Step 5: Solve for x
    x = 10,118,763.57/2,841.47
  6. Step 6: Final answer
    x = 3,561.11

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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.