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Finding the Fourth Proportional to 2,932.22, 4,046.31 and 1,605.67

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Solution

The fourth proportional to 2,932.22, 4,046.31 and 1,605.67 is: 2,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.22 : 4,046.31 = 1,605.67 : x
  2. Step 2: Convert to fraction form
    2,932.22/4,046.31 = 1,605.67/x
  3. Step 3: Cross multiply
    2,932.22x = 4,046.31 × 1,605.67
  4. Step 4: Simplify right side
    2,932.22x = 6,497,038.58
  5. Step 5: Solve for x
    x = 6,497,038.58/2,932.22
  6. Step 6: Final answer
    x = 2,215.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.