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Finding the Fourth Proportional to 2,262.12, 3,392.91 and 618.81

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Solution

The fourth proportional to 2,262.12, 3,392.91 and 618.81 is: 928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.12 : 3,392.91 = 618.81 : x
  2. Step 2: Convert to fraction form
    2,262.12/3,392.91 = 618.81/x
  3. Step 3: Cross multiply
    2,262.12x = 3,392.91 × 618.81
  4. Step 4: Simplify right side
    2,262.12x = 2,099,566.64
  5. Step 5: Solve for x
    x = 2,099,566.64/2,262.12
  6. Step 6: Final answer
    x = 928.14

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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.