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Finding the Fourth Proportional to 2,890.39, 3,988.72 and 1,564.09

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Solution

The fourth proportional to 2,890.39, 3,988.72 and 1,564.09 is: 2,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.39 : 3,988.72 = 1,564.09 : x
  2. Step 2: Convert to fraction form
    2,890.39/3,988.72 = 1,564.09/x
  3. Step 3: Cross multiply
    2,890.39x = 3,988.72 × 1,564.09
  4. Step 4: Simplify right side
    2,890.39x = 6,238,717.06
  5. Step 5: Solve for x
    x = 6,238,717.06/2,890.39
  6. Step 6: Final answer
    x = 2,158.43

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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.