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Finding the Fourth Proportional to 1,485.96, 2,227.57 and 1,362.94

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Solution

The fourth proportional to 1,485.96, 2,227.57 and 1,362.94 is: 2,043.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.96 : 2,227.57 = 1,362.94 : x
  2. Step 2: Convert to fraction form
    1,485.96/2,227.57 = 1,362.94/x
  3. Step 3: Cross multiply
    1,485.96x = 2,227.57 × 1,362.94
  4. Step 4: Simplify right side
    1,485.96x = 3,036,047.81
  5. Step 5: Solve for x
    x = 3,036,047.81/1,485.96
  6. Step 6: Final answer
    x = 2,043.15

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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.