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Finding the Fourth Proportional to 2,486.68, 3,431.46 and 2,247.64

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Solution

The fourth proportional to 2,486.68, 3,431.46 and 2,247.64 is: 3,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.68 : 3,431.46 = 2,247.64 : x
  2. Step 2: Convert to fraction form
    2,486.68/3,431.46 = 2,247.64/x
  3. Step 3: Cross multiply
    2,486.68x = 3,431.46 × 2,247.64
  4. Step 4: Simplify right side
    2,486.68x = 7,712,686.75
  5. Step 5: Solve for x
    x = 7,712,686.75/2,486.68
  6. Step 6: Final answer
    x = 3,101.60

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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.