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Finding the Fourth Proportional to 2,892.40, 4,338.08 and 944.60

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Solution

The fourth proportional to 2,892.40, 4,338.08 and 944.60 is: 1,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.40 : 4,338.08 = 944.60 : x
  2. Step 2: Convert to fraction form
    2,892.40/4,338.08 = 944.60/x
  3. Step 3: Cross multiply
    2,892.40x = 4,338.08 × 944.60
  4. Step 4: Simplify right side
    2,892.40x = 4,097,727.50
  5. Step 5: Solve for x
    x = 4,097,727.50/2,892.40
  6. Step 6: Final answer
    x = 1,416.72

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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.