Home / 1,742.28-2,613.52-509.76

Finding the Fourth Proportional to 1,742.28, 2,613.52 and 509.76

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Solution

The fourth proportional to 1,742.28, 2,613.52 and 509.76 is: 764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.28 : 2,613.52 = 509.76 : x
  2. Step 2: Convert to fraction form
    1,742.28/2,613.52 = 509.76/x
  3. Step 3: Cross multiply
    1,742.28x = 2,613.52 × 509.76
  4. Step 4: Simplify right side
    1,742.28x = 1,332,267.96
  5. Step 5: Solve for x
    x = 1,332,267.96/1,742.28
  6. Step 6: Final answer
    x = 764.67

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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.