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Finding the Fourth Proportional to 2,262.84, 3,393.72 and 2,042.52

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Solution

The fourth proportional to 2,262.84, 3,393.72 and 2,042.52 is: 3,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.84 : 3,393.72 = 2,042.52 : x
  2. Step 2: Convert to fraction form
    2,262.84/3,393.72 = 2,042.52/x
  3. Step 3: Cross multiply
    2,262.84x = 3,393.72 × 2,042.52
  4. Step 4: Simplify right side
    2,262.84x = 6,931,740.97
  5. Step 5: Solve for x
    x = 6,931,740.97/2,262.84
  6. Step 6: Final answer
    x = 3,063.29

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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.