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Finding the Fourth Proportional to 1,410, 1,944.96 and 937.44

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Solution

The fourth proportional to 1,410, 1,944.96 and 937.44 is: 1,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410 : 1,944.96 = 937.44 : x
  2. Step 2: Convert to fraction form
    1,410/1,944.96 = 937.44/x
  3. Step 3: Cross multiply
    1,410x = 1,944.96 × 937.44
  4. Step 4: Simplify right side
    1,410x = 1,823,283.30
  5. Step 5: Solve for x
    x = 1,823,283.30/1,410
  6. Step 6: Final answer
    x = 1,293.11

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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.