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Finding the Fourth Proportional to 2,824.49, 3,898.03 and 1,565.94

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Solution

The fourth proportional to 2,824.49, 3,898.03 and 1,565.94 is: 2,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.49 : 3,898.03 = 1,565.94 : x
  2. Step 2: Convert to fraction form
    2,824.49/3,898.03 = 1,565.94/x
  3. Step 3: Cross multiply
    2,824.49x = 3,898.03 × 1,565.94
  4. Step 4: Simplify right side
    2,824.49x = 6,104,091.34
  5. Step 5: Solve for x
    x = 6,104,091.34/2,824.49
  6. Step 6: Final answer
    x = 2,161.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.