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Finding the Fourth Proportional to 1,619.88, 2,235.62 and 911.90

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Solution

The fourth proportional to 1,619.88, 2,235.62 and 911.90 is: 1,258.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.88 : 2,235.62 = 911.90 : x
  2. Step 2: Convert to fraction form
    1,619.88/2,235.62 = 911.90/x
  3. Step 3: Cross multiply
    1,619.88x = 2,235.62 × 911.90
  4. Step 4: Simplify right side
    1,619.88x = 2,038,669.75
  5. Step 5: Solve for x
    x = 2,038,669.75/1,619.88
  6. Step 6: Final answer
    x = 1,258.53

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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.