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Finding the Fourth Proportional to 1,615.82, 2,229.25 and 1,056.61

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Solution

The fourth proportional to 1,615.82, 2,229.25 and 1,056.61 is: 1,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.82 : 2,229.25 = 1,056.61 : x
  2. Step 2: Convert to fraction form
    1,615.82/2,229.25 = 1,056.61/x
  3. Step 3: Cross multiply
    1,615.82x = 2,229.25 × 1,056.61
  4. Step 4: Simplify right side
    1,615.82x = 2,355,447.84
  5. Step 5: Solve for x
    x = 2,355,447.84/1,615.82
  6. Step 6: Final answer
    x = 1,457.74

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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.