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Finding the Fourth Proportional to 1,410.96, 1,945.26 and 1,365.60

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Solution

The fourth proportional to 1,410.96, 1,945.26 and 1,365.60 is: 1,882.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.96 : 1,945.26 = 1,365.60 : x
  2. Step 2: Convert to fraction form
    1,410.96/1,945.26 = 1,365.60/x
  3. Step 3: Cross multiply
    1,410.96x = 1,945.26 × 1,365.60
  4. Step 4: Simplify right side
    1,410.96x = 2,656,447.06
  5. Step 5: Solve for x
    x = 2,656,447.06/1,410.96
  6. Step 6: Final answer
    x = 1,882.72

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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.