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Finding the Fourth Proportional to 1,678.56, 2,513.52 and 1,419.36

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Solution

The fourth proportional to 1,678.56, 2,513.52 and 1,419.36 is: 2,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.56 : 2,513.52 = 1,419.36 : x
  2. Step 2: Convert to fraction form
    1,678.56/2,513.52 = 1,419.36/x
  3. Step 3: Cross multiply
    1,678.56x = 2,513.52 × 1,419.36
  4. Step 4: Simplify right side
    1,678.56x = 3,567,589.75
  5. Step 5: Solve for x
    x = 3,567,589.75/1,678.56
  6. Step 6: Final answer
    x = 2,125.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.