Home / 1,823.25-2,735.34-524.72

Finding the Fourth Proportional to 1,823.25, 2,735.34 and 524.72

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Solution

The fourth proportional to 1,823.25, 2,735.34 and 524.72 is: 787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.25 : 2,735.34 = 524.72 : x
  2. Step 2: Convert to fraction form
    1,823.25/2,735.34 = 524.72/x
  3. Step 3: Cross multiply
    1,823.25x = 2,735.34 × 524.72
  4. Step 4: Simplify right side
    1,823.25x = 1,435,287.60
  5. Step 5: Solve for x
    x = 1,435,287.60/1,823.25
  6. Step 6: Final answer
    x = 787.21

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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.