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Finding the Fourth Proportional to 4,343.60, 6,514.72 and 1,223.84

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Solution

The fourth proportional to 4,343.60, 6,514.72 and 1,223.84 is: 1,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.60 : 6,514.72 = 1,223.84 : x
  2. Step 2: Convert to fraction form
    4,343.60/6,514.72 = 1,223.84/x
  3. Step 3: Cross multiply
    4,343.60x = 6,514.72 × 1,223.84
  4. Step 4: Simplify right side
    4,343.60x = 7,972,974.92
  5. Step 5: Solve for x
    x = 7,972,974.92/4,343.60
  6. Step 6: Final answer
    x = 1,835.57

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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.