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Finding the Fourth Proportional to 1,188.67, 1,640.25 and 1,100.51

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Solution

The fourth proportional to 1,188.67, 1,640.25 and 1,100.51 is: 1,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.67 : 1,640.25 = 1,100.51 : x
  2. Step 2: Convert to fraction form
    1,188.67/1,640.25 = 1,100.51/x
  3. Step 3: Cross multiply
    1,188.67x = 1,640.25 × 1,100.51
  4. Step 4: Simplify right side
    1,188.67x = 1,805,103.71
  5. Step 5: Solve for x
    x = 1,805,103.71/1,188.67
  6. Step 6: Final answer
    x = 1,518.59

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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.