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Finding the Fourth Proportional to 2,931, 4,394.97 and 982.50

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Solution

The fourth proportional to 2,931, 4,394.97 and 982.50 is: 1,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931 : 4,394.97 = 982.50 : x
  2. Step 2: Convert to fraction form
    2,931/4,394.97 = 982.50/x
  3. Step 3: Cross multiply
    2,931x = 4,394.97 × 982.50
  4. Step 4: Simplify right side
    2,931x = 4,318,058.03
  5. Step 5: Solve for x
    x = 4,318,058.03/2,931
  6. Step 6: Final answer
    x = 1,473.24

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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.