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Finding the Fourth Proportional to 2,706.82, 3,736.10 and 1,528.58

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Solution

The fourth proportional to 2,706.82, 3,736.10 and 1,528.58 is: 2,109.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.82 : 3,736.10 = 1,528.58 : x
  2. Step 2: Convert to fraction form
    2,706.82/3,736.10 = 1,528.58/x
  3. Step 3: Cross multiply
    2,706.82x = 3,736.10 × 1,528.58
  4. Step 4: Simplify right side
    2,706.82x = 5,710,927.74
  5. Step 5: Solve for x
    x = 5,710,927.74/2,706.82
  6. Step 6: Final answer
    x = 2,109.83

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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.