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Finding the Fourth Proportional to 2,409.60, 3,615.66 and 1,423.80

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Solution

The fourth proportional to 2,409.60, 3,615.66 and 1,423.80 is: 2,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.60 : 3,615.66 = 1,423.80 : x
  2. Step 2: Convert to fraction form
    2,409.60/3,615.66 = 1,423.80/x
  3. Step 3: Cross multiply
    2,409.60x = 3,615.66 × 1,423.80
  4. Step 4: Simplify right side
    2,409.60x = 5,147,976.71
  5. Step 5: Solve for x
    x = 5,147,976.71/2,409.60
  6. Step 6: Final answer
    x = 2,136.44

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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.