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Finding the Fourth Proportional to 1,619.80, 2,235.34 and 911.76

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Solution

The fourth proportional to 1,619.80, 2,235.34 and 911.76 is: 1,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.80 : 2,235.34 = 911.76 : x
  2. Step 2: Convert to fraction form
    1,619.80/2,235.34 = 911.76/x
  3. Step 3: Cross multiply
    1,619.80x = 2,235.34 × 911.76
  4. Step 4: Simplify right side
    1,619.80x = 2,038,093.60
  5. Step 5: Solve for x
    x = 2,038,093.60/1,619.80
  6. Step 6: Final answer
    x = 1,258.24

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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.