Home / 1,733.50-2,600.31-434.97

Finding the Fourth Proportional to 1,733.50, 2,600.31 and 434.97

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Solution

The fourth proportional to 1,733.50, 2,600.31 and 434.97 is: 652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.50 : 2,600.31 = 434.97 : x
  2. Step 2: Convert to fraction form
    1,733.50/2,600.31 = 434.97/x
  3. Step 3: Cross multiply
    1,733.50x = 2,600.31 × 434.97
  4. Step 4: Simplify right side
    1,733.50x = 1,131,056.84
  5. Step 5: Solve for x
    x = 1,131,056.84/1,733.50
  6. Step 6: Final answer
    x = 652.47

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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.