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Finding the Fourth Proportional to 2,969.52, 4,095.42 and 1,833.82

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Solution

The fourth proportional to 2,969.52, 4,095.42 and 1,833.82 is: 2,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.52 : 4,095.42 = 1,833.82 : x
  2. Step 2: Convert to fraction form
    2,969.52/4,095.42 = 1,833.82/x
  3. Step 3: Cross multiply
    2,969.52x = 4,095.42 × 1,833.82
  4. Step 4: Simplify right side
    2,969.52x = 7,510,257.11
  5. Step 5: Solve for x
    x = 7,510,257.11/2,969.52
  6. Step 6: Final answer
    x = 2,529.11

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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.