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Finding the Fourth Proportional to 1,480.76, 2,043.33 and 851.26

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Solution

The fourth proportional to 1,480.76, 2,043.33 and 851.26 is: 1,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.76 : 2,043.33 = 851.26 : x
  2. Step 2: Convert to fraction form
    1,480.76/2,043.33 = 851.26/x
  3. Step 3: Cross multiply
    1,480.76x = 2,043.33 × 851.26
  4. Step 4: Simplify right side
    1,480.76x = 1,739,405.10
  5. Step 5: Solve for x
    x = 1,739,405.10/1,480.76
  6. Step 6: Final answer
    x = 1,174.67

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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.