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Finding the Fourth Proportional to 1,730.41, 2,387.97 and 944.44

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Solution

The fourth proportional to 1,730.41, 2,387.97 and 944.44 is: 1,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.41 : 2,387.97 = 944.44 : x
  2. Step 2: Convert to fraction form
    1,730.41/2,387.97 = 944.44/x
  3. Step 3: Cross multiply
    1,730.41x = 2,387.97 × 944.44
  4. Step 4: Simplify right side
    1,730.41x = 2,255,294.39
  5. Step 5: Solve for x
    x = 2,255,294.39/1,730.41
  6. Step 6: Final answer
    x = 1,303.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.