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Finding the Fourth Proportional to 1,905.67, 2,858.82 and 931.87

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Solution

The fourth proportional to 1,905.67, 2,858.82 and 931.87 is: 1,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.67 : 2,858.82 = 931.87 : x
  2. Step 2: Convert to fraction form
    1,905.67/2,858.82 = 931.87/x
  3. Step 3: Cross multiply
    1,905.67x = 2,858.82 × 931.87
  4. Step 4: Simplify right side
    1,905.67x = 2,664,048.59
  5. Step 5: Solve for x
    x = 2,664,048.59/1,905.67
  6. Step 6: Final answer
    x = 1,397.96

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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.