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Finding the Fourth Proportional to 2,892.66, 4,338.53 and 944.43

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Solution

The fourth proportional to 2,892.66, 4,338.53 and 944.43 is: 1,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.66 : 4,338.53 = 944.43 : x
  2. Step 2: Convert to fraction form
    2,892.66/4,338.53 = 944.43/x
  3. Step 3: Cross multiply
    2,892.66x = 4,338.53 × 944.43
  4. Step 4: Simplify right side
    2,892.66x = 4,097,437.89
  5. Step 5: Solve for x
    x = 4,097,437.89/2,892.66
  6. Step 6: Final answer
    x = 1,416.49

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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.