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Finding the Fourth Proportional to 1,741.06, 2,609.03 and 1,276.67

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Solution

The fourth proportional to 1,741.06, 2,609.03 and 1,276.67 is: 1,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.06 : 2,609.03 = 1,276.67 : x
  2. Step 2: Convert to fraction form
    1,741.06/2,609.03 = 1,276.67/x
  3. Step 3: Cross multiply
    1,741.06x = 2,609.03 × 1,276.67
  4. Step 4: Simplify right side
    1,741.06x = 3,330,870.33
  5. Step 5: Solve for x
    x = 3,330,870.33/1,741.06
  6. Step 6: Final answer
    x = 1,913.13

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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.