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Finding the Fourth Proportional to 2,466.75, 3,696.94 and 1,427.93

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Solution

The fourth proportional to 2,466.75, 3,696.94 and 1,427.93 is: 2,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.75 : 3,696.94 = 1,427.93 : x
  2. Step 2: Convert to fraction form
    2,466.75/3,696.94 = 1,427.93/x
  3. Step 3: Cross multiply
    2,466.75x = 3,696.94 × 1,427.93
  4. Step 4: Simplify right side
    2,466.75x = 5,278,968.70
  5. Step 5: Solve for x
    x = 5,278,968.70/2,466.75
  6. Step 6: Final answer
    x = 2,140.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.