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Finding the Fourth Proportional to 3,068.93, 4,235 and 1,742.56

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Solution

The fourth proportional to 3,068.93, 4,235 and 1,742.56 is: 2,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.93 : 4,235 = 1,742.56 : x
  2. Step 2: Convert to fraction form
    3,068.93/4,235 = 1,742.56/x
  3. Step 3: Cross multiply
    3,068.93x = 4,235 × 1,742.56
  4. Step 4: Simplify right side
    3,068.93x = 7,379,720.43
  5. Step 5: Solve for x
    x = 7,379,720.43/3,068.93
  6. Step 6: Final answer
    x = 2,404.66

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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.