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Finding the Fourth Proportional to 3,170.54, 4,754.48 and 1,320.32

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Solution

The fourth proportional to 3,170.54, 4,754.48 and 1,320.32 is: 1,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.54 : 4,754.48 = 1,320.32 : x
  2. Step 2: Convert to fraction form
    3,170.54/4,754.48 = 1,320.32/x
  3. Step 3: Cross multiply
    3,170.54x = 4,754.48 × 1,320.32
  4. Step 4: Simplify right side
    3,170.54x = 6,277,404.66
  5. Step 5: Solve for x
    x = 6,277,404.66/3,170.54
  6. Step 6: Final answer
    x = 1,979.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.