Home / 3,023.18-4,534.56-1,541

Finding the Fourth Proportional to 3,023.18, 4,534.56 and 1,541

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Solution

The fourth proportional to 3,023.18, 4,534.56 and 1,541 is: 2,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.18 : 4,534.56 = 1,541 : x
  2. Step 2: Convert to fraction form
    3,023.18/4,534.56 = 1,541/x
  3. Step 3: Cross multiply
    3,023.18x = 4,534.56 × 1,541
  4. Step 4: Simplify right side
    3,023.18x = 6,987,756.96
  5. Step 5: Solve for x
    x = 6,987,756.96/3,023.18
  6. Step 6: Final answer
    x = 2,311.39

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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.