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Finding the Fourth Proportional to 1,930.60, 2,894.82 and 631.96

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Solution

The fourth proportional to 1,930.60, 2,894.82 and 631.96 is: 947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.60 : 2,894.82 = 631.96 : x
  2. Step 2: Convert to fraction form
    1,930.60/2,894.82 = 631.96/x
  3. Step 3: Cross multiply
    1,930.60x = 2,894.82 × 631.96
  4. Step 4: Simplify right side
    1,930.60x = 1,829,410.45
  5. Step 5: Solve for x
    x = 1,829,410.45/1,930.60
  6. Step 6: Final answer
    x = 947.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.