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Finding the Fourth Proportional to 2,771.02, 4,155.62 and 921.63

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Solution

The fourth proportional to 2,771.02, 4,155.62 and 921.63 is: 1,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.02 : 4,155.62 = 921.63 : x
  2. Step 2: Convert to fraction form
    2,771.02/4,155.62 = 921.63/x
  3. Step 3: Cross multiply
    2,771.02x = 4,155.62 × 921.63
  4. Step 4: Simplify right side
    2,771.02x = 3,829,944.06
  5. Step 5: Solve for x
    x = 3,829,944.06/2,771.02
  6. Step 6: Final answer
    x = 1,382.14

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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.