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Finding the Fourth Proportional to 3,296.85, 4,550.16 and 2,102.35

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Solution

The fourth proportional to 3,296.85, 4,550.16 and 2,102.35 is: 2,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.85 : 4,550.16 = 2,102.35 : x
  2. Step 2: Convert to fraction form
    3,296.85/4,550.16 = 2,102.35/x
  3. Step 3: Cross multiply
    3,296.85x = 4,550.16 × 2,102.35
  4. Step 4: Simplify right side
    3,296.85x = 9,566,014.46
  5. Step 5: Solve for x
    x = 9,566,014.46/3,296.85
  6. Step 6: Final answer
    x = 2,901.57

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