Home / 2,023-3,031.58-1,157.56

Finding the Fourth Proportional to 2,023, 3,031.58 and 1,157.56

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Solution

The fourth proportional to 2,023, 3,031.58 and 1,157.56 is: 1,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023 : 3,031.58 = 1,157.56 : x
  2. Step 2: Convert to fraction form
    2,023/3,031.58 = 1,157.56/x
  3. Step 3: Cross multiply
    2,023x = 3,031.58 × 1,157.56
  4. Step 4: Simplify right side
    2,023x = 3,509,235.74
  5. Step 5: Solve for x
    x = 3,509,235.74/2,023
  6. Step 6: Final answer
    x = 1,734.67

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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.