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Finding the Fourth Proportional to 1,424.40, 1,967.40 and 1,379.04

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Solution

The fourth proportional to 1,424.40, 1,967.40 and 1,379.04 is: 1,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.40 : 1,967.40 = 1,379.04 : x
  2. Step 2: Convert to fraction form
    1,424.40/1,967.40 = 1,379.04/x
  3. Step 3: Cross multiply
    1,424.40x = 1,967.40 × 1,379.04
  4. Step 4: Simplify right side
    1,424.40x = 2,713,123.30
  5. Step 5: Solve for x
    x = 2,713,123.30/1,424.40
  6. Step 6: Final answer
    x = 1,904.75

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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.