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Finding the Fourth Proportional to 2,409.85, 3,615.90 and 1,670.59

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Solution

The fourth proportional to 2,409.85, 3,615.90 and 1,670.59 is: 2,506.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.85 : 3,615.90 = 1,670.59 : x
  2. Step 2: Convert to fraction form
    2,409.85/3,615.90 = 1,670.59/x
  3. Step 3: Cross multiply
    2,409.85x = 3,615.90 × 1,670.59
  4. Step 4: Simplify right side
    2,409.85x = 6,040,668.30
  5. Step 5: Solve for x
    x = 6,040,668.30/2,409.85
  6. Step 6: Final answer
    x = 2,506.66

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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.