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Finding the Fourth Proportional to 3,071.72, 4,604.34 and 1,317.57

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Solution

The fourth proportional to 3,071.72, 4,604.34 and 1,317.57 is: 1,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.72 : 4,604.34 = 1,317.57 : x
  2. Step 2: Convert to fraction form
    3,071.72/4,604.34 = 1,317.57/x
  3. Step 3: Cross multiply
    3,071.72x = 4,604.34 × 1,317.57
  4. Step 4: Simplify right side
    3,071.72x = 6,066,527.93
  5. Step 5: Solve for x
    x = 6,066,527.93/3,071.72
  6. Step 6: Final answer
    x = 1,974.96

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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.