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Finding the Fourth Proportional to 2,931.82, 4,394.96 and 982.62

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Solution

The fourth proportional to 2,931.82, 4,394.96 and 982.62 is: 1,473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.82 : 4,394.96 = 982.62 : x
  2. Step 2: Convert to fraction form
    2,931.82/4,394.96 = 982.62/x
  3. Step 3: Cross multiply
    2,931.82x = 4,394.96 × 982.62
  4. Step 4: Simplify right side
    2,931.82x = 4,318,575.60
  5. Step 5: Solve for x
    x = 4,318,575.60/2,931.82
  6. Step 6: Final answer
    x = 1,473.00

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1.5x scale

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.