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Finding the Fourth Proportional to 3,051.76, 4,211.59 and 1,932.29

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Solution

The fourth proportional to 3,051.76, 4,211.59 and 1,932.29 is: 2,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.76 : 4,211.59 = 1,932.29 : x
  2. Step 2: Convert to fraction form
    3,051.76/4,211.59 = 1,932.29/x
  3. Step 3: Cross multiply
    3,051.76x = 4,211.59 × 1,932.29
  4. Step 4: Simplify right side
    3,051.76x = 8,138,013.24
  5. Step 5: Solve for x
    x = 8,138,013.24/3,051.76
  6. Step 6: Final answer
    x = 2,666.66

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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.