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Finding the Fourth Proportional to 1,824.35, 2,735.94 and 591.47

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Solution

The fourth proportional to 1,824.35, 2,735.94 and 591.47 is: 887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.35 : 2,735.94 = 591.47 : x
  2. Step 2: Convert to fraction form
    1,824.35/2,735.94 = 591.47/x
  3. Step 3: Cross multiply
    1,824.35x = 2,735.94 × 591.47
  4. Step 4: Simplify right side
    1,824.35x = 1,618,226.43
  5. Step 5: Solve for x
    x = 1,618,226.43/1,824.35
  6. Step 6: Final answer
    x = 887.02

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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.