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Finding the Fourth Proportional to 1,824.34, 2,736.02 and 591.48

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Solution

The fourth proportional to 1,824.34, 2,736.02 and 591.48 is: 887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.34 : 2,736.02 = 591.48 : x
  2. Step 2: Convert to fraction form
    1,824.34/2,736.02 = 591.48/x
  3. Step 3: Cross multiply
    1,824.34x = 2,736.02 × 591.48
  4. Step 4: Simplify right side
    1,824.34x = 1,618,301.11
  5. Step 5: Solve for x
    x = 1,618,301.11/1,824.34
  6. Step 6: Final answer
    x = 887.06

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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.