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Finding the Fourth Proportional to 1,630.24, 2,250 and 1,189.60

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Solution

The fourth proportional to 1,630.24, 2,250 and 1,189.60 is: 1,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.24 : 2,250 = 1,189.60 : x
  2. Step 2: Convert to fraction form
    1,630.24/2,250 = 1,189.60/x
  3. Step 3: Cross multiply
    1,630.24x = 2,250 × 1,189.60
  4. Step 4: Simplify right side
    1,630.24x = 2,676,600
  5. Step 5: Solve for x
    x = 2,676,600/1,630.24
  6. Step 6: Final answer
    x = 1,641.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.