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Finding the Fourth Proportional to 1,977.89, 2,961.32 and 999.18

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Solution

The fourth proportional to 1,977.89, 2,961.32 and 999.18 is: 1,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.89 : 2,961.32 = 999.18 : x
  2. Step 2: Convert to fraction form
    1,977.89/2,961.32 = 999.18/x
  3. Step 3: Cross multiply
    1,977.89x = 2,961.32 × 999.18
  4. Step 4: Simplify right side
    1,977.89x = 2,958,886.72
  5. Step 5: Solve for x
    x = 2,958,886.72/1,977.89
  6. Step 6: Final answer
    x = 1,495.99

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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.