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Finding the Fourth Proportional to 3,068.28, 4,233.24 and 1,742.04

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Solution

The fourth proportional to 3,068.28, 4,233.24 and 1,742.04 is: 2,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.28 : 4,233.24 = 1,742.04 : x
  2. Step 2: Convert to fraction form
    3,068.28/4,233.24 = 1,742.04/x
  3. Step 3: Cross multiply
    3,068.28x = 4,233.24 × 1,742.04
  4. Step 4: Simplify right side
    3,068.28x = 7,374,473.41
  5. Step 5: Solve for x
    x = 7,374,473.41/3,068.28
  6. Step 6: Final answer
    x = 2,403.46

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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.