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Finding the Fourth Proportional to 1,272.20, 1,905.96 and 1,068.08

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Solution

The fourth proportional to 1,272.20, 1,905.96 and 1,068.08 is: 1,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.20 : 1,905.96 = 1,068.08 : x
  2. Step 2: Convert to fraction form
    1,272.20/1,905.96 = 1,068.08/x
  3. Step 3: Cross multiply
    1,272.20x = 1,905.96 × 1,068.08
  4. Step 4: Simplify right side
    1,272.20x = 2,035,717.76
  5. Step 5: Solve for x
    x = 2,035,717.76/1,272.20
  6. Step 6: Final answer
    x = 1,600.16

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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.