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Finding the Fourth Proportional to 2,641.73, 3,962.64 and 999.05

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Solution

The fourth proportional to 2,641.73, 3,962.64 and 999.05 is: 1,498.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.73 : 3,962.64 = 999.05 : x
  2. Step 2: Convert to fraction form
    2,641.73/3,962.64 = 999.05/x
  3. Step 3: Cross multiply
    2,641.73x = 3,962.64 × 999.05
  4. Step 4: Simplify right side
    2,641.73x = 3,958,875.49
  5. Step 5: Solve for x
    x = 3,958,875.49/2,641.73
  6. Step 6: Final answer
    x = 1,498.59

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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.