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Finding the Fourth Proportional to 1,485.75, 2,227.81 and 1,017.77

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Solution

The fourth proportional to 1,485.75, 2,227.81 and 1,017.77 is: 1,526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.75 : 2,227.81 = 1,017.77 : x
  2. Step 2: Convert to fraction form
    1,485.75/2,227.81 = 1,017.77/x
  3. Step 3: Cross multiply
    1,485.75x = 2,227.81 × 1,017.77
  4. Step 4: Simplify right side
    1,485.75x = 2,267,381.96
  5. Step 5: Solve for x
    x = 2,267,381.96/1,485.75
  6. Step 6: Final answer
    x = 1,526.09

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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.