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Finding the Fourth Proportional to 1,455.50, 2,017.06 and 1,427.80

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Solution

The fourth proportional to 1,455.50, 2,017.06 and 1,427.80 is: 1,978.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.50 : 2,017.06 = 1,427.80 : x
  2. Step 2: Convert to fraction form
    1,455.50/2,017.06 = 1,427.80/x
  3. Step 3: Cross multiply
    1,455.50x = 2,017.06 × 1,427.80
  4. Step 4: Simplify right side
    1,455.50x = 2,879,958.27
  5. Step 5: Solve for x
    x = 2,879,958.27/1,455.50
  6. Step 6: Final answer
    x = 1,978.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.