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Finding the Fourth Proportional to 2,262.89, 3,390.12 and 1,335.84

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Solution

The fourth proportional to 2,262.89, 3,390.12 and 1,335.84 is: 2,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.89 : 3,390.12 = 1,335.84 : x
  2. Step 2: Convert to fraction form
    2,262.89/3,390.12 = 1,335.84/x
  3. Step 3: Cross multiply
    2,262.89x = 3,390.12 × 1,335.84
  4. Step 4: Simplify right side
    2,262.89x = 4,528,657.90
  5. Step 5: Solve for x
    x = 4,528,657.90/2,262.89
  6. Step 6: Final answer
    x = 2,001.28

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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.