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Finding the Fourth Proportional to 2,262.06, 3,392.28 and 1,290.06

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Solution

The fourth proportional to 2,262.06, 3,392.28 and 1,290.06 is: 1,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.06 : 3,392.28 = 1,290.06 : x
  2. Step 2: Convert to fraction form
    2,262.06/3,392.28 = 1,290.06/x
  3. Step 3: Cross multiply
    2,262.06x = 3,392.28 × 1,290.06
  4. Step 4: Simplify right side
    2,262.06x = 4,376,244.74
  5. Step 5: Solve for x
    x = 4,376,244.74/2,262.06
  6. Step 6: Final answer
    x = 1,934.63

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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.