Home / 1,354.21-2,031.30-380.31

Finding the Fourth Proportional to 1,354.21, 2,031.30 and 380.31

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Solution

The fourth proportional to 1,354.21, 2,031.30 and 380.31 is: 570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.21 : 2,031.30 = 380.31 : x
  2. Step 2: Convert to fraction form
    1,354.21/2,031.30 = 380.31/x
  3. Step 3: Cross multiply
    1,354.21x = 2,031.30 × 380.31
  4. Step 4: Simplify right side
    1,354.21x = 772,525.13
  5. Step 5: Solve for x
    x = 772,525.13/1,354.21
  6. Step 6: Final answer
    x = 570.46

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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.