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Finding the Fourth Proportional to 3,068.96, 4,235.17 and 1,742.87

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Solution

The fourth proportional to 3,068.96, 4,235.17 and 1,742.87 is: 2,405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.96 : 4,235.17 = 1,742.87 : x
  2. Step 2: Convert to fraction form
    3,068.96/4,235.17 = 1,742.87/x
  3. Step 3: Cross multiply
    3,068.96x = 4,235.17 × 1,742.87
  4. Step 4: Simplify right side
    3,068.96x = 7,381,325.20
  5. Step 5: Solve for x
    x = 7,381,325.20/3,068.96
  6. Step 6: Final answer
    x = 2,405.16

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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.