Home / 1,354.19-2,031.36-380.37

Finding the Fourth Proportional to 1,354.19, 2,031.36 and 380.37

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Solution

The fourth proportional to 1,354.19, 2,031.36 and 380.37 is: 570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.19 : 2,031.36 = 380.37 : x
  2. Step 2: Convert to fraction form
    1,354.19/2,031.36 = 380.37/x
  3. Step 3: Cross multiply
    1,354.19x = 2,031.36 × 380.37
  4. Step 4: Simplify right side
    1,354.19x = 772,668.40
  5. Step 5: Solve for x
    x = 772,668.40/1,354.19
  6. Step 6: Final answer
    x = 570.58

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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.