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Finding the Fourth Proportional to 1,612.76, 2,416.62 and 1,288.04

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Solution

The fourth proportional to 1,612.76, 2,416.62 and 1,288.04 is: 1,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.76 : 2,416.62 = 1,288.04 : x
  2. Step 2: Convert to fraction form
    1,612.76/2,416.62 = 1,288.04/x
  3. Step 3: Cross multiply
    1,612.76x = 2,416.62 × 1,288.04
  4. Step 4: Simplify right side
    1,612.76x = 3,112,703.22
  5. Step 5: Solve for x
    x = 3,112,703.22/1,612.76
  6. Step 6: Final answer
    x = 1,930.05

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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.