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Finding the Fourth Proportional to 1,830.51, 2,745.09 and 597.69

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Solution

The fourth proportional to 1,830.51, 2,745.09 and 597.69 is: 896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.51 : 2,745.09 = 597.69 : x
  2. Step 2: Convert to fraction form
    1,830.51/2,745.09 = 597.69/x
  3. Step 3: Cross multiply
    1,830.51x = 2,745.09 × 597.69
  4. Step 4: Simplify right side
    1,830.51x = 1,640,712.84
  5. Step 5: Solve for x
    x = 1,640,712.84/1,830.51
  6. Step 6: Final answer
    x = 896.31

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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.