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Finding the Fourth Proportional to 1,894.56, 2,609.28 and 1,632.48

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Solution

The fourth proportional to 1,894.56, 2,609.28 and 1,632.48 is: 2,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.56 : 2,609.28 = 1,632.48 : x
  2. Step 2: Convert to fraction form
    1,894.56/2,609.28 = 1,632.48/x
  3. Step 3: Cross multiply
    1,894.56x = 2,609.28 × 1,632.48
  4. Step 4: Simplify right side
    1,894.56x = 4,259,597.41
  5. Step 5: Solve for x
    x = 4,259,597.41/1,894.56
  6. Step 6: Final answer
    x = 2,248.33

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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.