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Finding the Fourth Proportional to 2,922.64, 4,384.18 and 974.84

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Solution

The fourth proportional to 2,922.64, 4,384.18 and 974.84 is: 1,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.64 : 4,384.18 = 974.84 : x
  2. Step 2: Convert to fraction form
    2,922.64/4,384.18 = 974.84/x
  3. Step 3: Cross multiply
    2,922.64x = 4,384.18 × 974.84
  4. Step 4: Simplify right side
    2,922.64x = 4,273,866.11
  5. Step 5: Solve for x
    x = 4,273,866.11/2,922.64
  6. Step 6: Final answer
    x = 1,462.33

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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.