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Finding the Fourth Proportional to 1,916.84, 2,861.28 and 1,644.68

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Solution

The fourth proportional to 1,916.84, 2,861.28 and 1,644.68 is: 2,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.84 : 2,861.28 = 1,644.68 : x
  2. Step 2: Convert to fraction form
    1,916.84/2,861.28 = 1,644.68/x
  3. Step 3: Cross multiply
    1,916.84x = 2,861.28 × 1,644.68
  4. Step 4: Simplify right side
    1,916.84x = 4,705,889.99
  5. Step 5: Solve for x
    x = 4,705,889.99/1,916.84
  6. Step 6: Final answer
    x = 2,455.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.