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Finding the Fourth Proportional to 2,349.07, 3,521.78 and 962.75

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Solution

The fourth proportional to 2,349.07, 3,521.78 and 962.75 is: 1,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349.07 : 3,521.78 = 962.75 : x
  2. Step 2: Convert to fraction form
    2,349.07/3,521.78 = 962.75/x
  3. Step 3: Cross multiply
    2,349.07x = 3,521.78 × 962.75
  4. Step 4: Simplify right side
    2,349.07x = 3,390,601.30
  5. Step 5: Solve for x
    x = 3,390,601.30/2,349.07
  6. Step 6: Final answer
    x = 1,443.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.