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Finding the Fourth Proportional to 1,381.12, 2,071.78 and 407.30

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Solution

The fourth proportional to 1,381.12, 2,071.78 and 407.30 is: 610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.12 : 2,071.78 = 407.30 : x
  2. Step 2: Convert to fraction form
    1,381.12/2,071.78 = 407.30/x
  3. Step 3: Cross multiply
    1,381.12x = 2,071.78 × 407.30
  4. Step 4: Simplify right side
    1,381.12x = 843,824.62
  5. Step 5: Solve for x
    x = 843,824.62/1,381.12
  6. Step 6: Final answer
    x = 610.97

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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.