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Finding the Fourth Proportional to 1,833.37, 2,529.12 and 1,309.70

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Solution

The fourth proportional to 1,833.37, 2,529.12 and 1,309.70 is: 1,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.37 : 2,529.12 = 1,309.70 : x
  2. Step 2: Convert to fraction form
    1,833.37/2,529.12 = 1,309.70/x
  3. Step 3: Cross multiply
    1,833.37x = 2,529.12 × 1,309.70
  4. Step 4: Simplify right side
    1,833.37x = 3,312,399.70
  5. Step 5: Solve for x
    x = 3,312,399.70/1,833.37
  6. Step 6: Final answer
    x = 1,806.73

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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.