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Finding the Fourth Proportional to 1,641.98, 2,449.92 and 1,525.86

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Solution

The fourth proportional to 1,641.98, 2,449.92 and 1,525.86 is: 2,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.98 : 2,449.92 = 1,525.86 : x
  2. Step 2: Convert to fraction form
    1,641.98/2,449.92 = 1,525.86/x
  3. Step 3: Cross multiply
    1,641.98x = 2,449.92 × 1,525.86
  4. Step 4: Simplify right side
    1,641.98x = 3,738,234.93
  5. Step 5: Solve for x
    x = 3,738,234.93/1,641.98
  6. Step 6: Final answer
    x = 2,276.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.