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Finding the Fourth Proportional to 1,419.68, 1,958.60 and 1,047.56

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Solution

The fourth proportional to 1,419.68, 1,958.60 and 1,047.56 is: 1,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.68 : 1,958.60 = 1,047.56 : x
  2. Step 2: Convert to fraction form
    1,419.68/1,958.60 = 1,047.56/x
  3. Step 3: Cross multiply
    1,419.68x = 1,958.60 × 1,047.56
  4. Step 4: Simplify right side
    1,419.68x = 2,051,741.22
  5. Step 5: Solve for x
    x = 2,051,741.22/1,419.68
  6. Step 6: Final answer
    x = 1,445.21

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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.