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Finding the Fourth Proportional to 2,160.90, 3,243.06 and 928.31

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Solution

The fourth proportional to 2,160.90, 3,243.06 and 928.31 is: 1,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.90 : 3,243.06 = 928.31 : x
  2. Step 2: Convert to fraction form
    2,160.90/3,243.06 = 928.31/x
  3. Step 3: Cross multiply
    2,160.90x = 3,243.06 × 928.31
  4. Step 4: Simplify right side
    2,160.90x = 3,010,548.81
  5. Step 5: Solve for x
    x = 3,010,548.81/2,160.90
  6. Step 6: Final answer
    x = 1,393.19

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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.