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Finding the Fourth Proportional to 2,650.64, 3,657.44 and 1,471.68

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Solution

The fourth proportional to 2,650.64, 3,657.44 and 1,471.68 is: 2,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.64 : 3,657.44 = 1,471.68 : x
  2. Step 2: Convert to fraction form
    2,650.64/3,657.44 = 1,471.68/x
  3. Step 3: Cross multiply
    2,650.64x = 3,657.44 × 1,471.68
  4. Step 4: Simplify right side
    2,650.64x = 5,382,581.30
  5. Step 5: Solve for x
    x = 5,382,581.30/2,650.64
  6. Step 6: Final answer
    x = 2,030.67

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Why These Related Problems?

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