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Finding the Fourth Proportional to 2,923.62, 4,382.61 and 974.46

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Solution

The fourth proportional to 2,923.62, 4,382.61 and 974.46 is: 1,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.62 : 4,382.61 = 974.46 : x
  2. Step 2: Convert to fraction form
    2,923.62/4,382.61 = 974.46/x
  3. Step 3: Cross multiply
    2,923.62x = 4,382.61 × 974.46
  4. Step 4: Simplify right side
    2,923.62x = 4,270,678.14
  5. Step 5: Solve for x
    x = 4,270,678.14/2,923.62
  6. Step 6: Final answer
    x = 1,460.75

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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.