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Finding the Fourth Proportional to 2,486.30, 3,728.10 and 1,025.60

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Solution

The fourth proportional to 2,486.30, 3,728.10 and 1,025.60 is: 1,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.30 : 3,728.10 = 1,025.60 : x
  2. Step 2: Convert to fraction form
    2,486.30/3,728.10 = 1,025.60/x
  3. Step 3: Cross multiply
    2,486.30x = 3,728.10 × 1,025.60
  4. Step 4: Simplify right side
    2,486.30x = 3,823,539.36
  5. Step 5: Solve for x
    x = 3,823,539.36/2,486.30
  6. Step 6: Final answer
    x = 1,537.84

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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.