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Finding the Fourth Proportional to 3,137.55, 4,329.63 and 1,740.30

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Solution

The fourth proportional to 3,137.55, 4,329.63 and 1,740.30 is: 2,401.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.55 : 4,329.63 = 1,740.30 : x
  2. Step 2: Convert to fraction form
    3,137.55/4,329.63 = 1,740.30/x
  3. Step 3: Cross multiply
    3,137.55x = 4,329.63 × 1,740.30
  4. Step 4: Simplify right side
    3,137.55x = 7,534,855.09
  5. Step 5: Solve for x
    x = 7,534,855.09/3,137.55
  6. Step 6: Final answer
    x = 2,401.51

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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.