Home / 3,074.92-4,612.54-1,023.08

Finding the Fourth Proportional to 3,074.92, 4,612.54 and 1,023.08

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Solution

The fourth proportional to 3,074.92, 4,612.54 and 1,023.08 is: 1,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.92 : 4,612.54 = 1,023.08 : x
  2. Step 2: Convert to fraction form
    3,074.92/4,612.54 = 1,023.08/x
  3. Step 3: Cross multiply
    3,074.92x = 4,612.54 × 1,023.08
  4. Step 4: Simplify right side
    3,074.92x = 4,718,997.42
  5. Step 5: Solve for x
    x = 4,718,997.42/3,074.92
  6. Step 6: Final answer
    x = 1,534.67

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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.