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Finding the Fourth Proportional to 2,464.74, 3,697.80 and 1,078.20

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Solution

The fourth proportional to 2,464.74, 3,697.80 and 1,078.20 is: 1,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.74 : 3,697.80 = 1,078.20 : x
  2. Step 2: Convert to fraction form
    2,464.74/3,697.80 = 1,078.20/x
  3. Step 3: Cross multiply
    2,464.74x = 3,697.80 × 1,078.20
  4. Step 4: Simplify right side
    2,464.74x = 3,986,967.96
  5. Step 5: Solve for x
    x = 3,986,967.96/2,464.74
  6. Step 6: Final answer
    x = 1,617.60

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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.