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Finding the Fourth Proportional to 2,513.63, 3,770.21 and 1,697.15

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Solution

The fourth proportional to 2,513.63, 3,770.21 and 1,697.15 is: 2,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.63 : 3,770.21 = 1,697.15 : x
  2. Step 2: Convert to fraction form
    2,513.63/3,770.21 = 1,697.15/x
  3. Step 3: Cross multiply
    2,513.63x = 3,770.21 × 1,697.15
  4. Step 4: Simplify right side
    2,513.63x = 6,398,625.57
  5. Step 5: Solve for x
    x = 6,398,625.57/2,513.63
  6. Step 6: Final answer
    x = 2,545.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.