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Finding the Fourth Proportional to 2,262.34, 3,407.08 and 1,991.40

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Solution

The fourth proportional to 2,262.34, 3,407.08 and 1,991.40 is: 2,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.34 : 3,407.08 = 1,991.40 : x
  2. Step 2: Convert to fraction form
    2,262.34/3,407.08 = 1,991.40/x
  3. Step 3: Cross multiply
    2,262.34x = 3,407.08 × 1,991.40
  4. Step 4: Simplify right side
    2,262.34x = 6,784,859.11
  5. Step 5: Solve for x
    x = 6,784,859.11/2,262.34
  6. Step 6: Final answer
    x = 2,999.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.