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Finding the Fourth Proportional to 3,137.45, 4,329.68 and 1,740.20

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Solution

The fourth proportional to 3,137.45, 4,329.68 and 1,740.20 is: 2,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.45 : 4,329.68 = 1,740.20 : x
  2. Step 2: Convert to fraction form
    3,137.45/4,329.68 = 1,740.20/x
  3. Step 3: Cross multiply
    3,137.45x = 4,329.68 × 1,740.20
  4. Step 4: Simplify right side
    3,137.45x = 7,534,478.79
  5. Step 5: Solve for x
    x = 7,534,478.79/3,137.45
  6. Step 6: Final answer
    x = 2,401.47

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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.