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Finding the Fourth Proportional to 2,121.69, 2,929.37 and 1,562.79

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Solution

The fourth proportional to 2,121.69, 2,929.37 and 1,562.79 is: 2,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.69 : 2,929.37 = 1,562.79 : x
  2. Step 2: Convert to fraction form
    2,121.69/2,929.37 = 1,562.79/x
  3. Step 3: Cross multiply
    2,121.69x = 2,929.37 × 1,562.79
  4. Step 4: Simplify right side
    2,121.69x = 4,577,993.31
  5. Step 5: Solve for x
    x = 4,577,993.31/2,121.69
  6. Step 6: Final answer
    x = 2,157.71

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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.