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Finding the Fourth Proportional to 2,417.12, 3,626.28 and 685.76

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Solution

The fourth proportional to 2,417.12, 3,626.28 and 685.76 is: 1,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.12 : 3,626.28 = 685.76 : x
  2. Step 2: Convert to fraction form
    2,417.12/3,626.28 = 685.76/x
  3. Step 3: Cross multiply
    2,417.12x = 3,626.28 × 685.76
  4. Step 4: Simplify right side
    2,417.12x = 2,486,757.77
  5. Step 5: Solve for x
    x = 2,486,757.77/2,417.12
  6. Step 6: Final answer
    x = 1,028.81

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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.