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Finding the Fourth Proportional to 1,353.09, 1,867.50 and 855.57

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Solution

The fourth proportional to 1,353.09, 1,867.50 and 855.57 is: 1,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.09 : 1,867.50 = 855.57 : x
  2. Step 2: Convert to fraction form
    1,353.09/1,867.50 = 855.57/x
  3. Step 3: Cross multiply
    1,353.09x = 1,867.50 × 855.57
  4. Step 4: Simplify right side
    1,353.09x = 1,597,776.98
  5. Step 5: Solve for x
    x = 1,597,776.98/1,353.09
  6. Step 6: Final answer
    x = 1,180.84

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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.