Home / 1,478.56-2,040.22-849.12

Finding the Fourth Proportional to 1,478.56, 2,040.22 and 849.12

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Solution

The fourth proportional to 1,478.56, 2,040.22 and 849.12 is: 1,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.56 : 2,040.22 = 849.12 : x
  2. Step 2: Convert to fraction form
    1,478.56/2,040.22 = 849.12/x
  3. Step 3: Cross multiply
    1,478.56x = 2,040.22 × 849.12
  4. Step 4: Simplify right side
    1,478.56x = 1,732,377.16
  5. Step 5: Solve for x
    x = 1,732,377.16/1,478.56
  6. Step 6: Final answer
    x = 1,171.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.