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Finding the Fourth Proportional to 3,000.67, 4,140.62 and 1,742.13

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Solution

The fourth proportional to 3,000.67, 4,140.62 and 1,742.13 is: 2,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.67 : 4,140.62 = 1,742.13 : x
  2. Step 2: Convert to fraction form
    3,000.67/4,140.62 = 1,742.13/x
  3. Step 3: Cross multiply
    3,000.67x = 4,140.62 × 1,742.13
  4. Step 4: Simplify right side
    3,000.67x = 7,213,498.32
  5. Step 5: Solve for x
    x = 7,213,498.32/3,000.67
  6. Step 6: Final answer
    x = 2,403.96

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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.