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Finding the Fourth Proportional to 2,427.95, 3,356.54 and 2,405.75

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Solution

The fourth proportional to 2,427.95, 3,356.54 and 2,405.75 is: 3,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.95 : 3,356.54 = 2,405.75 : x
  2. Step 2: Convert to fraction form
    2,427.95/3,356.54 = 2,405.75/x
  3. Step 3: Cross multiply
    2,427.95x = 3,356.54 × 2,405.75
  4. Step 4: Simplify right side
    2,427.95x = 8,074,996.11
  5. Step 5: Solve for x
    x = 8,074,996.11/2,427.95
  6. Step 6: Final answer
    x = 3,325.85

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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.