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Finding the Fourth Proportional to 2,620.11, 3,927.81 and 975.53

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Solution

The fourth proportional to 2,620.11, 3,927.81 and 975.53 is: 1,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.11 : 3,927.81 = 975.53 : x
  2. Step 2: Convert to fraction form
    2,620.11/3,927.81 = 975.53/x
  3. Step 3: Cross multiply
    2,620.11x = 3,927.81 × 975.53
  4. Step 4: Simplify right side
    2,620.11x = 3,831,709.97
  5. Step 5: Solve for x
    x = 3,831,709.97/2,620.11
  6. Step 6: Final answer
    x = 1,462.42

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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.