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Finding the Fourth Proportional to 2,641.74, 3,645.60 and 1,462.80

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Solution

The fourth proportional to 2,641.74, 3,645.60 and 1,462.80 is: 2,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.74 : 3,645.60 = 1,462.80 : x
  2. Step 2: Convert to fraction form
    2,641.74/3,645.60 = 1,462.80/x
  3. Step 3: Cross multiply
    2,641.74x = 3,645.60 × 1,462.80
  4. Step 4: Simplify right side
    2,641.74x = 5,332,783.68
  5. Step 5: Solve for x
    x = 5,332,783.68/2,641.74
  6. Step 6: Final answer
    x = 2,018.66

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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.