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Finding the Fourth Proportional to 1,829.92, 2,744.25 and 597.02

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Solution

The fourth proportional to 1,829.92, 2,744.25 and 597.02 is: 895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.92 : 2,744.25 = 597.02 : x
  2. Step 2: Convert to fraction form
    1,829.92/2,744.25 = 597.02/x
  3. Step 3: Cross multiply
    1,829.92x = 2,744.25 × 597.02
  4. Step 4: Simplify right side
    1,829.92x = 1,638,376.65
  5. Step 5: Solve for x
    x = 1,638,376.65/1,829.92
  6. Step 6: Final answer
    x = 895.33

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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.