Home / 1,541.31-2,311.89-445.65

Finding the Fourth Proportional to 1,541.31, 2,311.89 and 445.65

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Solution

The fourth proportional to 1,541.31, 2,311.89 and 445.65 is: 668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.31 : 2,311.89 = 445.65 : x
  2. Step 2: Convert to fraction form
    1,541.31/2,311.89 = 445.65/x
  3. Step 3: Cross multiply
    1,541.31x = 2,311.89 × 445.65
  4. Step 4: Simplify right side
    1,541.31x = 1,030,293.78
  5. Step 5: Solve for x
    x = 1,030,293.78/1,541.31
  6. Step 6: Final answer
    x = 668.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.