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Finding the Fourth Proportional to 2,991.85, 4,456.16 and 2,835.72

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Solution

The fourth proportional to 2,991.85, 4,456.16 and 2,835.72 is: 4,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.85 : 4,456.16 = 2,835.72 : x
  2. Step 2: Convert to fraction form
    2,991.85/4,456.16 = 2,835.72/x
  3. Step 3: Cross multiply
    2,991.85x = 4,456.16 × 2,835.72
  4. Step 4: Simplify right side
    2,991.85x = 12,636,429.12
  5. Step 5: Solve for x
    x = 12,636,429.12/2,991.85
  6. Step 6: Final answer
    x = 4,223.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.