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Finding the Fourth Proportional to 2,223.75, 3,069.05 and 1,292.25

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Solution

The fourth proportional to 2,223.75, 3,069.05 and 1,292.25 is: 1,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.75 : 3,069.05 = 1,292.25 : x
  2. Step 2: Convert to fraction form
    2,223.75/3,069.05 = 1,292.25/x
  3. Step 3: Cross multiply
    2,223.75x = 3,069.05 × 1,292.25
  4. Step 4: Simplify right side
    2,223.75x = 3,965,973.40
  5. Step 5: Solve for x
    x = 3,965,973.40/2,223.75
  6. Step 6: Final answer
    x = 1,783.46

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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.