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Finding the Fourth Proportional to 2,609.82, 3,895.79 and 2,417.10

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Solution

The fourth proportional to 2,609.82, 3,895.79 and 2,417.10 is: 3,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.82 : 3,895.79 = 2,417.10 : x
  2. Step 2: Convert to fraction form
    2,609.82/3,895.79 = 2,417.10/x
  3. Step 3: Cross multiply
    2,609.82x = 3,895.79 × 2,417.10
  4. Step 4: Simplify right side
    2,609.82x = 9,416,501.92
  5. Step 5: Solve for x
    x = 9,416,501.92/2,609.82
  6. Step 6: Final answer
    x = 3,608.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.