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Finding the Fourth Proportional to 1,411.80, 1,949.02 and 1,096.35

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Solution

The fourth proportional to 1,411.80, 1,949.02 and 1,096.35 is: 1,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.80 : 1,949.02 = 1,096.35 : x
  2. Step 2: Convert to fraction form
    1,411.80/1,949.02 = 1,096.35/x
  3. Step 3: Cross multiply
    1,411.80x = 1,949.02 × 1,096.35
  4. Step 4: Simplify right side
    1,411.80x = 2,136,817.56
  5. Step 5: Solve for x
    x = 2,136,817.56/1,411.80
  6. Step 6: Final answer
    x = 1,513.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.