Home / 1,354.09-2,031.10-429.52

Finding the Fourth Proportional to 1,354.09, 2,031.10 and 429.52

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Solution

The fourth proportional to 1,354.09, 2,031.10 and 429.52 is: 644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.09 : 2,031.10 = 429.52 : x
  2. Step 2: Convert to fraction form
    1,354.09/2,031.10 = 429.52/x
  3. Step 3: Cross multiply
    1,354.09x = 2,031.10 × 429.52
  4. Step 4: Simplify right side
    1,354.09x = 872,398.07
  5. Step 5: Solve for x
    x = 872,398.07/1,354.09
  6. Step 6: Final answer
    x = 644.27

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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.