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Finding the Fourth Proportional to 1,405.72, 1,938.80 and 908.41

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Solution

The fourth proportional to 1,405.72, 1,938.80 and 908.41 is: 1,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.72 : 1,938.80 = 908.41 : x
  2. Step 2: Convert to fraction form
    1,405.72/1,938.80 = 908.41/x
  3. Step 3: Cross multiply
    1,405.72x = 1,938.80 × 908.41
  4. Step 4: Simplify right side
    1,405.72x = 1,761,220.77
  5. Step 5: Solve for x
    x = 1,761,220.77/1,405.72
  6. Step 6: Final answer
    x = 1,252.90

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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.