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Finding the Fourth Proportional to 1,730.82, 2,388.56 and 944.92

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Solution

The fourth proportional to 1,730.82, 2,388.56 and 944.92 is: 1,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.82 : 2,388.56 = 944.92 : x
  2. Step 2: Convert to fraction form
    1,730.82/2,388.56 = 944.92/x
  3. Step 3: Cross multiply
    1,730.82x = 2,388.56 × 944.92
  4. Step 4: Simplify right side
    1,730.82x = 2,256,998.12
  5. Step 5: Solve for x
    x = 2,256,998.12/1,730.82
  6. Step 6: Final answer
    x = 1,304.01

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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.