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Finding the Fourth Proportional to 2,568.86, 3,545.40 and 1,573.98

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Solution

The fourth proportional to 2,568.86, 3,545.40 and 1,573.98 is: 2,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.86 : 3,545.40 = 1,573.98 : x
  2. Step 2: Convert to fraction form
    2,568.86/3,545.40 = 1,573.98/x
  3. Step 3: Cross multiply
    2,568.86x = 3,545.40 × 1,573.98
  4. Step 4: Simplify right side
    2,568.86x = 5,580,388.69
  5. Step 5: Solve for x
    x = 5,580,388.69/2,568.86
  6. Step 6: Final answer
    x = 2,172.32

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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.