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Finding the Fourth Proportional to 2,664.46, 3,676.96 and 1,545.61

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Solution

The fourth proportional to 2,664.46, 3,676.96 and 1,545.61 is: 2,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.46 : 3,676.96 = 1,545.61 : x
  2. Step 2: Convert to fraction form
    2,664.46/3,676.96 = 1,545.61/x
  3. Step 3: Cross multiply
    2,664.46x = 3,676.96 × 1,545.61
  4. Step 4: Simplify right side
    2,664.46x = 5,683,146.15
  5. Step 5: Solve for x
    x = 5,683,146.15/2,664.46
  6. Step 6: Final answer
    x = 2,132.94

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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.