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Finding the Fourth Proportional to 1,298.22, 1,792.17 and 1,215.33

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Solution

The fourth proportional to 1,298.22, 1,792.17 and 1,215.33 is: 1,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.22 : 1,792.17 = 1,215.33 : x
  2. Step 2: Convert to fraction form
    1,298.22/1,792.17 = 1,215.33/x
  3. Step 3: Cross multiply
    1,298.22x = 1,792.17 × 1,215.33
  4. Step 4: Simplify right side
    1,298.22x = 2,178,077.97
  5. Step 5: Solve for x
    x = 2,178,077.97/1,298.22
  6. Step 6: Final answer
    x = 1,677.74

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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.