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Finding the Fourth Proportional to 4,301.32, 6,453.05 and 1,223.32

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Solution

The fourth proportional to 4,301.32, 6,453.05 and 1,223.32 is: 1,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.32 : 6,453.05 = 1,223.32 : x
  2. Step 2: Convert to fraction form
    4,301.32/6,453.05 = 1,223.32/x
  3. Step 3: Cross multiply
    4,301.32x = 6,453.05 × 1,223.32
  4. Step 4: Simplify right side
    4,301.32x = 7,894,112.86
  5. Step 5: Solve for x
    x = 7,894,112.86/4,301.32
  6. Step 6: Final answer
    x = 1,835.28

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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.