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Finding the Fourth Proportional to 3,068.94, 4,235.16 and 1,742.66

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Solution

The fourth proportional to 3,068.94, 4,235.16 and 1,742.66 is: 2,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.94 : 4,235.16 = 1,742.66 : x
  2. Step 2: Convert to fraction form
    3,068.94/4,235.16 = 1,742.66/x
  3. Step 3: Cross multiply
    3,068.94x = 4,235.16 × 1,742.66
  4. Step 4: Simplify right side
    3,068.94x = 7,380,443.93
  5. Step 5: Solve for x
    x = 7,380,443.93/3,068.94
  6. Step 6: Final answer
    x = 2,404.88

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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.