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Finding the Fourth Proportional to 2,886.54, 4,322.72 and 1,843.46

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Solution

The fourth proportional to 2,886.54, 4,322.72 and 1,843.46 is: 2,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.54 : 4,322.72 = 1,843.46 : x
  2. Step 2: Convert to fraction form
    2,886.54/4,322.72 = 1,843.46/x
  3. Step 3: Cross multiply
    2,886.54x = 4,322.72 × 1,843.46
  4. Step 4: Simplify right side
    2,886.54x = 7,968,776.83
  5. Step 5: Solve for x
    x = 7,968,776.83/2,886.54
  6. Step 6: Final answer
    x = 2,760.67

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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.