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Finding the Fourth Proportional to 1,824.59, 2,736.32 and 591.72

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Solution

The fourth proportional to 1,824.59, 2,736.32 and 591.72 is: 887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.59 : 2,736.32 = 591.72 : x
  2. Step 2: Convert to fraction form
    1,824.59/2,736.32 = 591.72/x
  3. Step 3: Cross multiply
    1,824.59x = 2,736.32 × 591.72
  4. Step 4: Simplify right side
    1,824.59x = 1,619,122.05
  5. Step 5: Solve for x
    x = 1,619,122.05/1,824.59
  6. Step 6: Final answer
    x = 887.39

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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.