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Finding the Fourth Proportional to 2,801.46, 3,865.74 and 1,622.60

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Solution

The fourth proportional to 2,801.46, 3,865.74 and 1,622.60 is: 2,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.46 : 3,865.74 = 1,622.60 : x
  2. Step 2: Convert to fraction form
    2,801.46/3,865.74 = 1,622.60/x
  3. Step 3: Cross multiply
    2,801.46x = 3,865.74 × 1,622.60
  4. Step 4: Simplify right side
    2,801.46x = 6,272,549.72
  5. Step 5: Solve for x
    x = 6,272,549.72/2,801.46
  6. Step 6: Final answer
    x = 2,239.03

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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.