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Finding the Fourth Proportional to 2,423.68, 3,636.03 and 962.80

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Solution

The fourth proportional to 2,423.68, 3,636.03 and 962.80 is: 1,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.68 : 3,636.03 = 962.80 : x
  2. Step 2: Convert to fraction form
    2,423.68/3,636.03 = 962.80/x
  3. Step 3: Cross multiply
    2,423.68x = 3,636.03 × 962.80
  4. Step 4: Simplify right side
    2,423.68x = 3,500,769.68
  5. Step 5: Solve for x
    x = 3,500,769.68/2,423.68
  6. Step 6: Final answer
    x = 1,444.40

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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.