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Finding the Fourth Proportional to 1,385.58, 1,910.24 and 942.71

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Solution

The fourth proportional to 1,385.58, 1,910.24 and 942.71 is: 1,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.58 : 1,910.24 = 942.71 : x
  2. Step 2: Convert to fraction form
    1,385.58/1,910.24 = 942.71/x
  3. Step 3: Cross multiply
    1,385.58x = 1,910.24 × 942.71
  4. Step 4: Simplify right side
    1,385.58x = 1,800,788.09
  5. Step 5: Solve for x
    x = 1,800,788.09/1,385.58
  6. Step 6: Final answer
    x = 1,299.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.