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Finding the Fourth Proportional to 2,153.19, 2,969.43 and 1,406.88

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Solution

The fourth proportional to 2,153.19, 2,969.43 and 1,406.88 is: 1,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.19 : 2,969.43 = 1,406.88 : x
  2. Step 2: Convert to fraction form
    2,153.19/2,969.43 = 1,406.88/x
  3. Step 3: Cross multiply
    2,153.19x = 2,969.43 × 1,406.88
  4. Step 4: Simplify right side
    2,153.19x = 4,177,631.68
  5. Step 5: Solve for x
    x = 4,177,631.68/2,153.19
  6. Step 6: Final answer
    x = 1,940.21

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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.