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Finding the Fourth Proportional to 1,406.97, 2,106.81 and 1,250.24

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Solution

The fourth proportional to 1,406.97, 2,106.81 and 1,250.24 is: 1,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.97 : 2,106.81 = 1,250.24 : x
  2. Step 2: Convert to fraction form
    1,406.97/2,106.81 = 1,250.24/x
  3. Step 3: Cross multiply
    1,406.97x = 2,106.81 × 1,250.24
  4. Step 4: Simplify right side
    1,406.97x = 2,634,007.60
  5. Step 5: Solve for x
    x = 2,634,007.60/1,406.97
  6. Step 6: Final answer
    x = 1,872.11

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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.