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Finding the Fourth Proportional to 1,628.62, 2,440.61 and 1,187.90

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Solution

The fourth proportional to 1,628.62, 2,440.61 and 1,187.90 is: 1,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.62 : 2,440.61 = 1,187.90 : x
  2. Step 2: Convert to fraction form
    1,628.62/2,440.61 = 1,187.90/x
  3. Step 3: Cross multiply
    1,628.62x = 2,440.61 × 1,187.90
  4. Step 4: Simplify right side
    1,628.62x = 2,899,200.62
  5. Step 5: Solve for x
    x = 2,899,200.62/1,628.62
  6. Step 6: Final answer
    x = 1,780.16

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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.