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Finding the Fourth Proportional to 2,569.42, 3,846.97 and 1,642.69

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Solution

The fourth proportional to 2,569.42, 3,846.97 and 1,642.69 is: 2,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.42 : 3,846.97 = 1,642.69 : x
  2. Step 2: Convert to fraction form
    2,569.42/3,846.97 = 1,642.69/x
  3. Step 3: Cross multiply
    2,569.42x = 3,846.97 × 1,642.69
  4. Step 4: Simplify right side
    2,569.42x = 6,319,379.15
  5. Step 5: Solve for x
    x = 6,319,379.15/2,569.42
  6. Step 6: Final answer
    x = 2,459.46

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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.