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Finding the Fourth Proportional to 1,373.46, 1,895.73 and 842.52

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Solution

The fourth proportional to 1,373.46, 1,895.73 and 842.52 is: 1,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.46 : 1,895.73 = 842.52 : x
  2. Step 2: Convert to fraction form
    1,373.46/1,895.73 = 842.52/x
  3. Step 3: Cross multiply
    1,373.46x = 1,895.73 × 842.52
  4. Step 4: Simplify right side
    1,373.46x = 1,597,190.44
  5. Step 5: Solve for x
    x = 1,597,190.44/1,373.46
  6. Step 6: Final answer
    x = 1,162.90

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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.