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Finding the Fourth Proportional to 1,833.96, 2,747.74 and 1,527.78

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Solution

The fourth proportional to 1,833.96, 2,747.74 and 1,527.78 is: 2,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.96 : 2,747.74 = 1,527.78 : x
  2. Step 2: Convert to fraction form
    1,833.96/2,747.74 = 1,527.78/x
  3. Step 3: Cross multiply
    1,833.96x = 2,747.74 × 1,527.78
  4. Step 4: Simplify right side
    1,833.96x = 4,197,942.22
  5. Step 5: Solve for x
    x = 4,197,942.22/1,833.96
  6. Step 6: Final answer
    x = 2,289.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.