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Finding the Fourth Proportional to 2,047.23, 3,071.34 and 586.35

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Solution

The fourth proportional to 2,047.23, 3,071.34 and 586.35 is: 879.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.23 : 3,071.34 = 586.35 : x
  2. Step 2: Convert to fraction form
    2,047.23/3,071.34 = 586.35/x
  3. Step 3: Cross multiply
    2,047.23x = 3,071.34 × 586.35
  4. Step 4: Simplify right side
    2,047.23x = 1,800,880.21
  5. Step 5: Solve for x
    x = 1,800,880.21/2,047.23
  6. Step 6: Final answer
    x = 879.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.