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Finding the Fourth Proportional to 2,568.93, 3,545.34 and 1,574.82

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Solution

The fourth proportional to 2,568.93, 3,545.34 and 1,574.82 is: 2,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.93 : 3,545.34 = 1,574.82 : x
  2. Step 2: Convert to fraction form
    2,568.93/3,545.34 = 1,574.82/x
  3. Step 3: Cross multiply
    2,568.93x = 3,545.34 × 1,574.82
  4. Step 4: Simplify right side
    2,568.93x = 5,583,272.34
  5. Step 5: Solve for x
    x = 5,583,272.34/2,568.93
  6. Step 6: Final answer
    x = 2,173.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.