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Finding the Fourth Proportional to 2,426.67, 3,636.06 and 1,697.07

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Solution

The fourth proportional to 2,426.67, 3,636.06 and 1,697.07 is: 2,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.67 : 3,636.06 = 1,697.07 : x
  2. Step 2: Convert to fraction form
    2,426.67/3,636.06 = 1,697.07/x
  3. Step 3: Cross multiply
    2,426.67x = 3,636.06 × 1,697.07
  4. Step 4: Simplify right side
    2,426.67x = 6,170,648.34
  5. Step 5: Solve for x
    x = 6,170,648.34/2,426.67
  6. Step 6: Final answer
    x = 2,542.85

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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.