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Finding the Fourth Proportional to 3,145.98, 4,718.98 and 954.73

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Solution

The fourth proportional to 3,145.98, 4,718.98 and 954.73 is: 1,432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.98 : 4,718.98 = 954.73 : x
  2. Step 2: Convert to fraction form
    3,145.98/4,718.98 = 954.73/x
  3. Step 3: Cross multiply
    3,145.98x = 4,718.98 × 954.73
  4. Step 4: Simplify right side
    3,145.98x = 4,505,323.41
  5. Step 5: Solve for x
    x = 4,505,323.41/3,145.98
  6. Step 6: Final answer
    x = 1,432.09

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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.