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Finding the Fourth Proportional to 2,348.69, 3,521.22 and 962.38

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Solution

The fourth proportional to 2,348.69, 3,521.22 and 962.38 is: 1,442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.69 : 3,521.22 = 962.38 : x
  2. Step 2: Convert to fraction form
    2,348.69/3,521.22 = 962.38/x
  3. Step 3: Cross multiply
    2,348.69x = 3,521.22 × 962.38
  4. Step 4: Simplify right side
    2,348.69x = 3,388,739.29
  5. Step 5: Solve for x
    x = 3,388,739.29/2,348.69
  6. Step 6: Final answer
    x = 1,442.82

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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.