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Finding the Fourth Proportional to 2,706.03, 4,065.89 and 2,596.68

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Solution

The fourth proportional to 2,706.03, 4,065.89 and 2,596.68 is: 3,901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.03 : 4,065.89 = 2,596.68 : x
  2. Step 2: Convert to fraction form
    2,706.03/4,065.89 = 2,596.68/x
  3. Step 3: Cross multiply
    2,706.03x = 4,065.89 × 2,596.68
  4. Step 4: Simplify right side
    2,706.03x = 10,557,802.26
  5. Step 5: Solve for x
    x = 10,557,802.26/2,706.03
  6. Step 6: Final answer
    x = 3,901.58

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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.