Home / 1,541.67-2,311.76-445.74

Finding the Fourth Proportional to 1,541.67, 2,311.76 and 445.74

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Solution

The fourth proportional to 1,541.67, 2,311.76 and 445.74 is: 668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.67 : 2,311.76 = 445.74 : x
  2. Step 2: Convert to fraction form
    1,541.67/2,311.76 = 445.74/x
  3. Step 3: Cross multiply
    1,541.67x = 2,311.76 × 445.74
  4. Step 4: Simplify right side
    1,541.67x = 1,030,441.67
  5. Step 5: Solve for x
    x = 1,030,441.67/1,541.67
  6. Step 6: Final answer
    x = 668.39

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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.