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Finding the Fourth Proportional to 2,804.30, 4,205.97 and 929.96

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Solution

The fourth proportional to 2,804.30, 4,205.97 and 929.96 is: 1,394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.30 : 4,205.97 = 929.96 : x
  2. Step 2: Convert to fraction form
    2,804.30/4,205.97 = 929.96/x
  3. Step 3: Cross multiply
    2,804.30x = 4,205.97 × 929.96
  4. Step 4: Simplify right side
    2,804.30x = 3,911,383.86
  5. Step 5: Solve for x
    x = 3,911,383.86/2,804.30
  6. Step 6: Final answer
    x = 1,394.78

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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.