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Finding the Fourth Proportional to 1,410.92, 1,947.27 and 1,174.53

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Solution

The fourth proportional to 1,410.92, 1,947.27 and 1,174.53 is: 1,621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.92 : 1,947.27 = 1,174.53 : x
  2. Step 2: Convert to fraction form
    1,410.92/1,947.27 = 1,174.53/x
  3. Step 3: Cross multiply
    1,410.92x = 1,947.27 × 1,174.53
  4. Step 4: Simplify right side
    1,410.92x = 2,287,112.40
  5. Step 5: Solve for x
    x = 2,287,112.40/1,410.92
  6. Step 6: Final answer
    x = 1,621.01

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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.