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Finding the Fourth Proportional to 1,273.60, 1,914.23 and 1,055.67

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Solution

The fourth proportional to 1,273.60, 1,914.23 and 1,055.67 is: 1,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.60 : 1,914.23 = 1,055.67 : x
  2. Step 2: Convert to fraction form
    1,273.60/1,914.23 = 1,055.67/x
  3. Step 3: Cross multiply
    1,273.60x = 1,914.23 × 1,055.67
  4. Step 4: Simplify right side
    1,273.60x = 2,020,795.18
  5. Step 5: Solve for x
    x = 2,020,795.18/1,273.60
  6. Step 6: Final answer
    x = 1,586.68

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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.