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Finding the Fourth Proportional to 1,554.16, 2,144.78 and 855.54

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Solution

The fourth proportional to 1,554.16, 2,144.78 and 855.54 is: 1,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.16 : 2,144.78 = 855.54 : x
  2. Step 2: Convert to fraction form
    1,554.16/2,144.78 = 855.54/x
  3. Step 3: Cross multiply
    1,554.16x = 2,144.78 × 855.54
  4. Step 4: Simplify right side
    1,554.16x = 1,834,945.08
  5. Step 5: Solve for x
    x = 1,834,945.08/1,554.16
  6. Step 6: Final answer
    x = 1,180.67

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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.