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Finding the Fourth Proportional to 1,823.52, 2,735.43 and 783.57

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Solution

The fourth proportional to 1,823.52, 2,735.43 and 783.57 is: 1,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.52 : 2,735.43 = 783.57 : x
  2. Step 2: Convert to fraction form
    1,823.52/2,735.43 = 783.57/x
  3. Step 3: Cross multiply
    1,823.52x = 2,735.43 × 783.57
  4. Step 4: Simplify right side
    1,823.52x = 2,143,400.89
  5. Step 5: Solve for x
    x = 2,143,400.89/1,823.52
  6. Step 6: Final answer
    x = 1,175.42

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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.