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Finding the Fourth Proportional to 2,164.01, 3,245.28 and 930.17

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Solution

The fourth proportional to 2,164.01, 3,245.28 and 930.17 is: 1,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.01 : 3,245.28 = 930.17 : x
  2. Step 2: Convert to fraction form
    2,164.01/3,245.28 = 930.17/x
  3. Step 3: Cross multiply
    2,164.01x = 3,245.28 × 930.17
  4. Step 4: Simplify right side
    2,164.01x = 3,018,645.87
  5. Step 5: Solve for x
    x = 3,018,645.87/2,164.01
  6. Step 6: Final answer
    x = 1,394.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.