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Finding the Fourth Proportional to 1,378.58, 2,067.90 and 1,087.67

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Solution

The fourth proportional to 1,378.58, 2,067.90 and 1,087.67 is: 1,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.58 : 2,067.90 = 1,087.67 : x
  2. Step 2: Convert to fraction form
    1,378.58/2,067.90 = 1,087.67/x
  3. Step 3: Cross multiply
    1,378.58x = 2,067.90 × 1,087.67
  4. Step 4: Simplify right side
    1,378.58x = 2,249,194.29
  5. Step 5: Solve for x
    x = 2,249,194.29/1,378.58
  6. Step 6: Final answer
    x = 1,631.53

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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.