Home / 1,477.24-2,038.38-814.09

Finding the Fourth Proportional to 1,477.24, 2,038.38 and 814.09

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Solution

The fourth proportional to 1,477.24, 2,038.38 and 814.09 is: 1,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.24 : 2,038.38 = 814.09 : x
  2. Step 2: Convert to fraction form
    1,477.24/2,038.38 = 814.09/x
  3. Step 3: Cross multiply
    1,477.24x = 2,038.38 × 814.09
  4. Step 4: Simplify right side
    1,477.24x = 1,659,424.77
  5. Step 5: Solve for x
    x = 1,659,424.77/1,477.24
  6. Step 6: Final answer
    x = 1,123.33

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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.