Home / 1,354.08-2,031.24-380.20

Finding the Fourth Proportional to 1,354.08, 2,031.24 and 380.20

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Solution

The fourth proportional to 1,354.08, 2,031.24 and 380.20 is: 570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.08 : 2,031.24 = 380.20 : x
  2. Step 2: Convert to fraction form
    1,354.08/2,031.24 = 380.20/x
  3. Step 3: Cross multiply
    1,354.08x = 2,031.24 × 380.20
  4. Step 4: Simplify right side
    1,354.08x = 772,277.45
  5. Step 5: Solve for x
    x = 772,277.45/1,354.08
  6. Step 6: Final answer
    x = 570.33

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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.