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Finding the Fourth Proportional to 1,930.60, 2,896.11 and 631.77

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Solution

The fourth proportional to 1,930.60, 2,896.11 and 631.77 is: 947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.60 : 2,896.11 = 631.77 : x
  2. Step 2: Convert to fraction form
    1,930.60/2,896.11 = 631.77/x
  3. Step 3: Cross multiply
    1,930.60x = 2,896.11 × 631.77
  4. Step 4: Simplify right side
    1,930.60x = 1,829,675.41
  5. Step 5: Solve for x
    x = 1,829,675.41/1,930.60
  6. Step 6: Final answer
    x = 947.72

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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.