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Finding the Fourth Proportional to 1,432.30, 2,147 and 905.60

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Solution

The fourth proportional to 1,432.30, 2,147 and 905.60 is: 1,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.30 : 2,147 = 905.60 : x
  2. Step 2: Convert to fraction form
    1,432.30/2,147 = 905.60/x
  3. Step 3: Cross multiply
    1,432.30x = 2,147 × 905.60
  4. Step 4: Simplify right side
    1,432.30x = 1,944,323.20
  5. Step 5: Solve for x
    x = 1,944,323.20/1,432.30
  6. Step 6: Final answer
    x = 1,357.48

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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.