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Finding the Fourth Proportional to 1,829.58, 2,743.84 and 597.09

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Solution

The fourth proportional to 1,829.58, 2,743.84 and 597.09 is: 895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.58 : 2,743.84 = 597.09 : x
  2. Step 2: Convert to fraction form
    1,829.58/2,743.84 = 597.09/x
  3. Step 3: Cross multiply
    1,829.58x = 2,743.84 × 597.09
  4. Step 4: Simplify right side
    1,829.58x = 1,638,319.43
  5. Step 5: Solve for x
    x = 1,638,319.43/1,829.58
  6. Step 6: Final answer
    x = 895.46

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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.