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Finding the Fourth Proportional to 1,824.58, 2,735.50 and 1,130.19

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Solution

The fourth proportional to 1,824.58, 2,735.50 and 1,130.19 is: 1,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.58 : 2,735.50 = 1,130.19 : x
  2. Step 2: Convert to fraction form
    1,824.58/2,735.50 = 1,130.19/x
  3. Step 3: Cross multiply
    1,824.58x = 2,735.50 × 1,130.19
  4. Step 4: Simplify right side
    1,824.58x = 3,091,634.75
  5. Step 5: Solve for x
    x = 3,091,634.75/1,824.58
  6. Step 6: Final answer
    x = 1,694.44

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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.