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Finding the Fourth Proportional to 1,396.70, 1,925.34 and 871.82

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Solution

The fourth proportional to 1,396.70, 1,925.34 and 871.82 is: 1,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.70 : 1,925.34 = 871.82 : x
  2. Step 2: Convert to fraction form
    1,396.70/1,925.34 = 871.82/x
  3. Step 3: Cross multiply
    1,396.70x = 1,925.34 × 871.82
  4. Step 4: Simplify right side
    1,396.70x = 1,678,549.92
  5. Step 5: Solve for x
    x = 1,678,549.92/1,396.70
  6. Step 6: Final answer
    x = 1,201.80

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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.