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Finding the Fourth Proportional to 3,000.17, 4,140.15 and 1,741.15

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Solution

The fourth proportional to 3,000.17, 4,140.15 and 1,741.15 is: 2,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.17 : 4,140.15 = 1,741.15 : x
  2. Step 2: Convert to fraction form
    3,000.17/4,140.15 = 1,741.15/x
  3. Step 3: Cross multiply
    3,000.17x = 4,140.15 × 1,741.15
  4. Step 4: Simplify right side
    3,000.17x = 7,208,622.17
  5. Step 5: Solve for x
    x = 7,208,622.17/3,000.17
  6. Step 6: Final answer
    x = 2,402.74

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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.