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Finding the Fourth Proportional to 1,832.94, 2,529.14 and 1,036.30

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Solution

The fourth proportional to 1,832.94, 2,529.14 and 1,036.30 is: 1,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.94 : 2,529.14 = 1,036.30 : x
  2. Step 2: Convert to fraction form
    1,832.94/2,529.14 = 1,036.30/x
  3. Step 3: Cross multiply
    1,832.94x = 2,529.14 × 1,036.30
  4. Step 4: Simplify right side
    1,832.94x = 2,620,947.78
  5. Step 5: Solve for x
    x = 2,620,947.78/1,832.94
  6. Step 6: Final answer
    x = 1,429.91

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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.