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Finding the Fourth Proportional to 1,876.81, 2,809.26 and 1,527.19

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Solution

The fourth proportional to 1,876.81, 2,809.26 and 1,527.19 is: 2,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.81 : 2,809.26 = 1,527.19 : x
  2. Step 2: Convert to fraction form
    1,876.81/2,809.26 = 1,527.19/x
  3. Step 3: Cross multiply
    1,876.81x = 2,809.26 × 1,527.19
  4. Step 4: Simplify right side
    1,876.81x = 4,290,273.78
  5. Step 5: Solve for x
    x = 4,290,273.78/1,876.81
  6. Step 6: Final answer
    x = 2,285.94

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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.