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Finding the Fourth Proportional to 2,452.60, 3,676.37 and 1,281.98

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Solution

The fourth proportional to 2,452.60, 3,676.37 and 1,281.98 is: 1,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.60 : 3,676.37 = 1,281.98 : x
  2. Step 2: Convert to fraction form
    2,452.60/3,676.37 = 1,281.98/x
  3. Step 3: Cross multiply
    2,452.60x = 3,676.37 × 1,281.98
  4. Step 4: Simplify right side
    2,452.60x = 4,713,017.64
  5. Step 5: Solve for x
    x = 4,713,017.64/2,452.60
  6. Step 6: Final answer
    x = 1,921.64

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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.