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Finding the Fourth Proportional to 3,124.54, 4,314.34 and 1,931.26

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Solution

The fourth proportional to 3,124.54, 4,314.34 and 1,931.26 is: 2,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.54 : 4,314.34 = 1,931.26 : x
  2. Step 2: Convert to fraction form
    3,124.54/4,314.34 = 1,931.26/x
  3. Step 3: Cross multiply
    3,124.54x = 4,314.34 × 1,931.26
  4. Step 4: Simplify right side
    3,124.54x = 8,332,112.27
  5. Step 5: Solve for x
    x = 8,332,112.27/3,124.54
  6. Step 6: Final answer
    x = 2,666.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.