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Finding the Fourth Proportional to 1,305, 1,962.17 and 1,203.52

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Solution

The fourth proportional to 1,305, 1,962.17 and 1,203.52 is: 1,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305 : 1,962.17 = 1,203.52 : x
  2. Step 2: Convert to fraction form
    1,305/1,962.17 = 1,203.52/x
  3. Step 3: Cross multiply
    1,305x = 1,962.17 × 1,203.52
  4. Step 4: Simplify right side
    1,305x = 2,361,510.84
  5. Step 5: Solve for x
    x = 2,361,510.84/1,305
  6. Step 6: Final answer
    x = 1,809.59

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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.