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Finding the Fourth Proportional to 1,409.59, 2,096.48 and 1,380.43

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Solution

The fourth proportional to 1,409.59, 2,096.48 and 1,380.43 is: 2,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.59 : 2,096.48 = 1,380.43 : x
  2. Step 2: Convert to fraction form
    1,409.59/2,096.48 = 1,380.43/x
  3. Step 3: Cross multiply
    1,409.59x = 2,096.48 × 1,380.43
  4. Step 4: Simplify right side
    1,409.59x = 2,894,043.89
  5. Step 5: Solve for x
    x = 2,894,043.89/1,409.59
  6. Step 6: Final answer
    x = 2,053.11

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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.