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Finding the Fourth Proportional to 3,131.01, 4,696.41 and 1,281.60

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Solution

The fourth proportional to 3,131.01, 4,696.41 and 1,281.60 is: 1,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.01 : 4,696.41 = 1,281.60 : x
  2. Step 2: Convert to fraction form
    3,131.01/4,696.41 = 1,281.60/x
  3. Step 3: Cross multiply
    3,131.01x = 4,696.41 × 1,281.60
  4. Step 4: Simplify right side
    3,131.01x = 6,018,919.06
  5. Step 5: Solve for x
    x = 6,018,919.06/3,131.01
  6. Step 6: Final answer
    x = 1,922.36

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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.