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Finding the Fourth Proportional to 1,995.25, 2,752.50 and 1,406.11

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Solution

The fourth proportional to 1,995.25, 2,752.50 and 1,406.11 is: 1,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.25 : 2,752.50 = 1,406.11 : x
  2. Step 2: Convert to fraction form
    1,995.25/2,752.50 = 1,406.11/x
  3. Step 3: Cross multiply
    1,995.25x = 2,752.50 × 1,406.11
  4. Step 4: Simplify right side
    1,995.25x = 3,870,317.78
  5. Step 5: Solve for x
    x = 3,870,317.78/1,995.25
  6. Step 6: Final answer
    x = 1,939.77

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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.