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Finding the Fourth Proportional to 1,771.25, 2,667.16 and 1,312.28

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Solution

The fourth proportional to 1,771.25, 2,667.16 and 1,312.28 is: 1,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.25 : 2,667.16 = 1,312.28 : x
  2. Step 2: Convert to fraction form
    1,771.25/2,667.16 = 1,312.28/x
  3. Step 3: Cross multiply
    1,771.25x = 2,667.16 × 1,312.28
  4. Step 4: Simplify right side
    1,771.25x = 3,500,040.83
  5. Step 5: Solve for x
    x = 3,500,040.83/1,771.25
  6. Step 6: Final answer
    x = 1,976.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.