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Finding the Fourth Proportional to 2,134.52, 2,945.62 and 1,203.32

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Solution

The fourth proportional to 2,134.52, 2,945.62 and 1,203.32 is: 1,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.52 : 2,945.62 = 1,203.32 : x
  2. Step 2: Convert to fraction form
    2,134.52/2,945.62 = 1,203.32/x
  3. Step 3: Cross multiply
    2,134.52x = 2,945.62 × 1,203.32
  4. Step 4: Simplify right side
    2,134.52x = 3,544,523.46
  5. Step 5: Solve for x
    x = 3,544,523.46/2,134.52
  6. Step 6: Final answer
    x = 1,660.57

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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.