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Finding the Fourth Proportional to 2,999.17, 4,138.55 and 1,740.63

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Solution

The fourth proportional to 2,999.17, 4,138.55 and 1,740.63 is: 2,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.17 : 4,138.55 = 1,740.63 : x
  2. Step 2: Convert to fraction form
    2,999.17/4,138.55 = 1,740.63/x
  3. Step 3: Cross multiply
    2,999.17x = 4,138.55 × 1,740.63
  4. Step 4: Simplify right side
    2,999.17x = 7,203,684.29
  5. Step 5: Solve for x
    x = 7,203,684.29/2,999.17
  6. Step 6: Final answer
    x = 2,401.89

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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.