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Finding the Fourth Proportional to 1,833.16, 2,529.02 and 1,274.08

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Solution

The fourth proportional to 1,833.16, 2,529.02 and 1,274.08 is: 1,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.16 : 2,529.02 = 1,274.08 : x
  2. Step 2: Convert to fraction form
    1,833.16/2,529.02 = 1,274.08/x
  3. Step 3: Cross multiply
    1,833.16x = 2,529.02 × 1,274.08
  4. Step 4: Simplify right side
    1,833.16x = 3,222,154.79
  5. Step 5: Solve for x
    x = 3,222,154.79/1,833.16
  6. Step 6: Final answer
    x = 1,757.71

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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.