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Finding the Fourth Proportional to 1,894.69, 2,614.82 and 1,098.26

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Solution

The fourth proportional to 1,894.69, 2,614.82 and 1,098.26 is: 1,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.69 : 2,614.82 = 1,098.26 : x
  2. Step 2: Convert to fraction form
    1,894.69/2,614.82 = 1,098.26/x
  3. Step 3: Cross multiply
    1,894.69x = 2,614.82 × 1,098.26
  4. Step 4: Simplify right side
    1,894.69x = 2,871,743.45
  5. Step 5: Solve for x
    x = 2,871,743.45/1,894.69
  6. Step 6: Final answer
    x = 1,515.68

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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.