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Finding the Fourth Proportional to 2,732.92, 4,100.25 and 977.89

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Solution

The fourth proportional to 2,732.92, 4,100.25 and 977.89 is: 1,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.92 : 4,100.25 = 977.89 : x
  2. Step 2: Convert to fraction form
    2,732.92/4,100.25 = 977.89/x
  3. Step 3: Cross multiply
    2,732.92x = 4,100.25 × 977.89
  4. Step 4: Simplify right side
    2,732.92x = 4,009,570.53
  5. Step 5: Solve for x
    x = 4,009,570.53/2,732.92
  6. Step 6: Final answer
    x = 1,467.14

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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.