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Finding the Fourth Proportional to 1,710.36, 2,563.41 and 832.14

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Solution

The fourth proportional to 1,710.36, 2,563.41 and 832.14 is: 1,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.36 : 2,563.41 = 832.14 : x
  2. Step 2: Convert to fraction form
    1,710.36/2,563.41 = 832.14/x
  3. Step 3: Cross multiply
    1,710.36x = 2,563.41 × 832.14
  4. Step 4: Simplify right side
    1,710.36x = 2,133,116.00
  5. Step 5: Solve for x
    x = 2,133,116.00/1,710.36
  6. Step 6: Final answer
    x = 1,247.17

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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.