Home / 1,822.89-2,734.34-524.36

Finding the Fourth Proportional to 1,822.89, 2,734.34 and 524.36

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Solution

The fourth proportional to 1,822.89, 2,734.34 and 524.36 is: 786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.89 : 2,734.34 = 524.36 : x
  2. Step 2: Convert to fraction form
    1,822.89/2,734.34 = 524.36/x
  3. Step 3: Cross multiply
    1,822.89x = 2,734.34 × 524.36
  4. Step 4: Simplify right side
    1,822.89x = 1,433,762.23
  5. Step 5: Solve for x
    x = 1,433,762.23/1,822.89
  6. Step 6: Final answer
    x = 786.53

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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.