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Finding the Fourth Proportional to 2,568.63, 3,545.58 and 1,506.73

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Solution

The fourth proportional to 2,568.63, 3,545.58 and 1,506.73 is: 2,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.63 : 3,545.58 = 1,506.73 : x
  2. Step 2: Convert to fraction form
    2,568.63/3,545.58 = 1,506.73/x
  3. Step 3: Cross multiply
    2,568.63x = 3,545.58 × 1,506.73
  4. Step 4: Simplify right side
    2,568.63x = 5,342,228.54
  5. Step 5: Solve for x
    x = 5,342,228.54/2,568.63
  6. Step 6: Final answer
    x = 2,079.80

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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.