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Finding the Fourth Proportional to 3,043.84, 4,564.56 and 1,095.36

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Solution

The fourth proportional to 3,043.84, 4,564.56 and 1,095.36 is: 1,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.84 : 4,564.56 = 1,095.36 : x
  2. Step 2: Convert to fraction form
    3,043.84/4,564.56 = 1,095.36/x
  3. Step 3: Cross multiply
    3,043.84x = 4,564.56 × 1,095.36
  4. Step 4: Simplify right side
    3,043.84x = 4,999,836.44
  5. Step 5: Solve for x
    x = 4,999,836.44/3,043.84
  6. Step 6: Final answer
    x = 1,642.61

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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.