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Finding the Fourth Proportional to 2,326.78, 3,209.46 and 1,486.60

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Solution

The fourth proportional to 2,326.78, 3,209.46 and 1,486.60 is: 2,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.78 : 3,209.46 = 1,486.60 : x
  2. Step 2: Convert to fraction form
    2,326.78/3,209.46 = 1,486.60/x
  3. Step 3: Cross multiply
    2,326.78x = 3,209.46 × 1,486.60
  4. Step 4: Simplify right side
    2,326.78x = 4,771,183.24
  5. Step 5: Solve for x
    x = 4,771,183.24/2,326.78
  6. Step 6: Final answer
    x = 2,050.55

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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.