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Finding the Fourth Proportional to 2,170.84, 3,258.06 and 1,075.54

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Solution

The fourth proportional to 2,170.84, 3,258.06 and 1,075.54 is: 1,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.84 : 3,258.06 = 1,075.54 : x
  2. Step 2: Convert to fraction form
    2,170.84/3,258.06 = 1,075.54/x
  3. Step 3: Cross multiply
    2,170.84x = 3,258.06 × 1,075.54
  4. Step 4: Simplify right side
    2,170.84x = 3,504,173.85
  5. Step 5: Solve for x
    x = 3,504,173.85/2,170.84
  6. Step 6: Final answer
    x = 1,614.20

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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.