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Finding the Fourth Proportional to 2,731.79, 4,097.90 and 977.18

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Solution

The fourth proportional to 2,731.79, 4,097.90 and 977.18 is: 1,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.79 : 4,097.90 = 977.18 : x
  2. Step 2: Convert to fraction form
    2,731.79/4,097.90 = 977.18/x
  3. Step 3: Cross multiply
    2,731.79x = 4,097.90 × 977.18
  4. Step 4: Simplify right side
    2,731.79x = 4,004,367.88
  5. Step 5: Solve for x
    x = 4,004,367.88/2,731.79
  6. Step 6: Final answer
    x = 1,465.84

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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.