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Finding the Fourth Proportional to 1,381.34, 2,071.73 and 407.45

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Solution

The fourth proportional to 1,381.34, 2,071.73 and 407.45 is: 611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.34 : 2,071.73 = 407.45 : x
  2. Step 2: Convert to fraction form
    1,381.34/2,071.73 = 407.45/x
  3. Step 3: Cross multiply
    1,381.34x = 2,071.73 × 407.45
  4. Step 4: Simplify right side
    1,381.34x = 844,113.99
  5. Step 5: Solve for x
    x = 844,113.99/1,381.34
  6. Step 6: Final answer
    x = 611.09

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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.