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Finding the Fourth Proportional to 2,563.42, 3,844.95 and 1,464.34

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Solution

The fourth proportional to 2,563.42, 3,844.95 and 1,464.34 is: 2,196.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.42 : 3,844.95 = 1,464.34 : x
  2. Step 2: Convert to fraction form
    2,563.42/3,844.95 = 1,464.34/x
  3. Step 3: Cross multiply
    2,563.42x = 3,844.95 × 1,464.34
  4. Step 4: Simplify right side
    2,563.42x = 5,630,314.08
  5. Step 5: Solve for x
    x = 5,630,314.08/2,563.42
  6. Step 6: Final answer
    x = 2,196.41

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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.