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Finding the Fourth Proportional to 2,464.95, 3,697.46 and 1,637.31

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Solution

The fourth proportional to 2,464.95, 3,697.46 and 1,637.31 is: 2,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.95 : 3,697.46 = 1,637.31 : x
  2. Step 2: Convert to fraction form
    2,464.95/3,697.46 = 1,637.31/x
  3. Step 3: Cross multiply
    2,464.95x = 3,697.46 × 1,637.31
  4. Step 4: Simplify right side
    2,464.95x = 6,053,880.05
  5. Step 5: Solve for x
    x = 6,053,880.05/2,464.95
  6. Step 6: Final answer
    x = 2,455.98

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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.