Home / 1,541.93-2,313.24-446.38

Finding the Fourth Proportional to 1,541.93, 2,313.24 and 446.38

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Solution

The fourth proportional to 1,541.93, 2,313.24 and 446.38 is: 669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.93 : 2,313.24 = 446.38 : x
  2. Step 2: Convert to fraction form
    1,541.93/2,313.24 = 446.38/x
  3. Step 3: Cross multiply
    1,541.93x = 2,313.24 × 446.38
  4. Step 4: Simplify right side
    1,541.93x = 1,032,584.07
  5. Step 5: Solve for x
    x = 1,032,584.07/1,541.93
  6. Step 6: Final answer
    x = 669.67

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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.