Home / 1,929.86-2,894.60-543.17

Finding the Fourth Proportional to 1,929.86, 2,894.60 and 543.17

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Solution

The fourth proportional to 1,929.86, 2,894.60 and 543.17 is: 814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.86 : 2,894.60 = 543.17 : x
  2. Step 2: Convert to fraction form
    1,929.86/2,894.60 = 543.17/x
  3. Step 3: Cross multiply
    1,929.86x = 2,894.60 × 543.17
  4. Step 4: Simplify right side
    1,929.86x = 1,572,268.48
  5. Step 5: Solve for x
    x = 1,572,268.48/1,929.86
  6. Step 6: Final answer
    x = 814.71

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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.