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Finding the Fourth Proportional to 2,423.98, 3,633.40 and 962.74

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Solution

The fourth proportional to 2,423.98, 3,633.40 and 962.74 is: 1,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.98 : 3,633.40 = 962.74 : x
  2. Step 2: Convert to fraction form
    2,423.98/3,633.40 = 962.74/x
  3. Step 3: Cross multiply
    2,423.98x = 3,633.40 × 962.74
  4. Step 4: Simplify right side
    2,423.98x = 3,498,019.52
  5. Step 5: Solve for x
    x = 3,498,019.52/2,423.98
  6. Step 6: Final answer
    x = 1,443.09

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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.