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Finding the Fourth Proportional to 1,554.13, 2,144.69 and 855.55

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Solution

The fourth proportional to 1,554.13, 2,144.69 and 855.55 is: 1,180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.13 : 2,144.69 = 855.55 : x
  2. Step 2: Convert to fraction form
    1,554.13/2,144.69 = 855.55/x
  3. Step 3: Cross multiply
    1,554.13x = 2,144.69 × 855.55
  4. Step 4: Simplify right side
    1,554.13x = 1,834,889.53
  5. Step 5: Solve for x
    x = 1,834,889.53/1,554.13
  6. Step 6: Final answer
    x = 1,180.65

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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.