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Finding the Fourth Proportional to 4,272.93, 6,411.50 and 1,932.69

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Solution

The fourth proportional to 4,272.93, 6,411.50 and 1,932.69 is: 2,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.93 : 6,411.50 = 1,932.69 : x
  2. Step 2: Convert to fraction form
    4,272.93/6,411.50 = 1,932.69/x
  3. Step 3: Cross multiply
    4,272.93x = 6,411.50 × 1,932.69
  4. Step 4: Simplify right side
    4,272.93x = 12,391,409.88
  5. Step 5: Solve for x
    x = 12,391,409.88/4,272.93
  6. Step 6: Final answer
    x = 2,899.98

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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.