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Finding the Fourth Proportional to 1,771, 2,443.98 and 985.06

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Solution

The fourth proportional to 1,771, 2,443.98 and 985.06 is: 1,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771 : 2,443.98 = 985.06 : x
  2. Step 2: Convert to fraction form
    1,771/2,443.98 = 985.06/x
  3. Step 3: Cross multiply
    1,771x = 2,443.98 × 985.06
  4. Step 4: Simplify right side
    1,771x = 2,407,466.94
  5. Step 5: Solve for x
    x = 2,407,466.94/1,771
  6. Step 6: Final answer
    x = 1,359.38

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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.