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Finding the Fourth Proportional to 1,872.23, 2,809.16 and 1,005.53

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Solution

The fourth proportional to 1,872.23, 2,809.16 and 1,005.53 is: 1,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.23 : 2,809.16 = 1,005.53 : x
  2. Step 2: Convert to fraction form
    1,872.23/2,809.16 = 1,005.53/x
  3. Step 3: Cross multiply
    1,872.23x = 2,809.16 × 1,005.53
  4. Step 4: Simplify right side
    1,872.23x = 2,824,704.19
  5. Step 5: Solve for x
    x = 2,824,704.19/1,872.23
  6. Step 6: Final answer
    x = 1,508.74

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