Home / 1,383.48-2,078.26-973.42

Finding the Fourth Proportional to 1,383.48, 2,078.26 and 973.42

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Solution

The fourth proportional to 1,383.48, 2,078.26 and 973.42 is: 1,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.48 : 2,078.26 = 973.42 : x
  2. Step 2: Convert to fraction form
    1,383.48/2,078.26 = 973.42/x
  3. Step 3: Cross multiply
    1,383.48x = 2,078.26 × 973.42
  4. Step 4: Simplify right side
    1,383.48x = 2,023,012.22
  5. Step 5: Solve for x
    x = 2,023,012.22/1,383.48
  6. Step 6: Final answer
    x = 1,462.26

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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.