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Finding the Fourth Proportional to 2,921, 4,380.36 and 972.68

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Solution

The fourth proportional to 2,921, 4,380.36 and 972.68 is: 1,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921 : 4,380.36 = 972.68 : x
  2. Step 2: Convert to fraction form
    2,921/4,380.36 = 972.68/x
  3. Step 3: Cross multiply
    2,921x = 4,380.36 × 972.68
  4. Step 4: Simplify right side
    2,921x = 4,260,688.56
  5. Step 5: Solve for x
    x = 4,260,688.56/2,921
  6. Step 6: Final answer
    x = 1,458.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.