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Finding the Fourth Proportional to 2,427.08, 3,349.08 and 1,364.63

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Solution

The fourth proportional to 2,427.08, 3,349.08 and 1,364.63 is: 1,883.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.08 : 3,349.08 = 1,364.63 : x
  2. Step 2: Convert to fraction form
    2,427.08/3,349.08 = 1,364.63/x
  3. Step 3: Cross multiply
    2,427.08x = 3,349.08 × 1,364.63
  4. Step 4: Simplify right side
    2,427.08x = 4,570,238.30
  5. Step 5: Solve for x
    x = 4,570,238.30/2,427.08
  6. Step 6: Final answer
    x = 1,883.02

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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.