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Finding the Fourth Proportional to 2,512.94, 3,763.20 and 1,470.20

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Solution

The fourth proportional to 2,512.94, 3,763.20 and 1,470.20 is: 2,201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.94 : 3,763.20 = 1,470.20 : x
  2. Step 2: Convert to fraction form
    2,512.94/3,763.20 = 1,470.20/x
  3. Step 3: Cross multiply
    2,512.94x = 3,763.20 × 1,470.20
  4. Step 4: Simplify right side
    2,512.94x = 5,532,656.64
  5. Step 5: Solve for x
    x = 5,532,656.64/2,512.94
  6. Step 6: Final answer
    x = 2,201.67

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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.