Home / 1,477.26-2,038.66-814.14

Finding the Fourth Proportional to 1,477.26, 2,038.66 and 814.14

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Solution

The fourth proportional to 1,477.26, 2,038.66 and 814.14 is: 1,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.26 : 2,038.66 = 814.14 : x
  2. Step 2: Convert to fraction form
    1,477.26/2,038.66 = 814.14/x
  3. Step 3: Cross multiply
    1,477.26x = 2,038.66 × 814.14
  4. Step 4: Simplify right side
    1,477.26x = 1,659,752.62
  5. Step 5: Solve for x
    x = 1,659,752.62/1,477.26
  6. Step 6: Final answer
    x = 1,123.53

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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.