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Finding the Fourth Proportional to 1,715.42, 2,571.87 and 849.53

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Solution

The fourth proportional to 1,715.42, 2,571.87 and 849.53 is: 1,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.42 : 2,571.87 = 849.53 : x
  2. Step 2: Convert to fraction form
    1,715.42/2,571.87 = 849.53/x
  3. Step 3: Cross multiply
    1,715.42x = 2,571.87 × 849.53
  4. Step 4: Simplify right side
    1,715.42x = 2,184,880.72
  5. Step 5: Solve for x
    x = 2,184,880.72/1,715.42
  6. Step 6: Final answer
    x = 1,273.67

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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.