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Finding the Fourth Proportional to 2,185.30, 3,276.64 and 951.67

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Solution

The fourth proportional to 2,185.30, 3,276.64 and 951.67 is: 1,426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.30 : 3,276.64 = 951.67 : x
  2. Step 2: Convert to fraction form
    2,185.30/3,276.64 = 951.67/x
  3. Step 3: Cross multiply
    2,185.30x = 3,276.64 × 951.67
  4. Step 4: Simplify right side
    2,185.30x = 3,118,279.99
  5. Step 5: Solve for x
    x = 3,118,279.99/2,185.30
  6. Step 6: Final answer
    x = 1,426.93

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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.