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Finding the Fourth Proportional to 2,922.36, 4,384.16 and 974.76

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Solution

The fourth proportional to 2,922.36, 4,384.16 and 974.76 is: 1,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.36 : 4,384.16 = 974.76 : x
  2. Step 2: Convert to fraction form
    2,922.36/4,384.16 = 974.76/x
  3. Step 3: Cross multiply
    2,922.36x = 4,384.16 × 974.76
  4. Step 4: Simplify right side
    2,922.36x = 4,273,503.80
  5. Step 5: Solve for x
    x = 4,273,503.80/2,922.36
  6. Step 6: Final answer
    x = 1,462.35

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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.