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Finding the Fourth Proportional to 2,262.03, 3,392.91 and 618.63

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Solution

The fourth proportional to 2,262.03, 3,392.91 and 618.63 is: 927.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.03 : 3,392.91 = 618.63 : x
  2. Step 2: Convert to fraction form
    2,262.03/3,392.91 = 618.63/x
  3. Step 3: Cross multiply
    2,262.03x = 3,392.91 × 618.63
  4. Step 4: Simplify right side
    2,262.03x = 2,098,955.91
  5. Step 5: Solve for x
    x = 2,098,955.91/2,262.03
  6. Step 6: Final answer
    x = 927.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.