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Finding the Fourth Proportional to 2,165.00, 3,247.84 and 703.81

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Solution

The fourth proportional to 2,165.00, 3,247.84 and 703.81 is: 1,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.00 : 3,247.84 = 703.81 : x
  2. Step 2: Convert to fraction form
    2,165.00/3,247.84 = 703.81/x
  3. Step 3: Cross multiply
    2,165.00x = 3,247.84 × 703.81
  4. Step 4: Simplify right side
    2,165.00x = 2,285,851.07
  5. Step 5: Solve for x
    x = 2,285,851.07/2,165.00
  6. Step 6: Final answer
    x = 1,055.82

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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.