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Finding the Fourth Proportional to 1,935.54, 2,905.32 and 962.36

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Solution

The fourth proportional to 1,935.54, 2,905.32 and 962.36 is: 1,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.54 : 2,905.32 = 962.36 : x
  2. Step 2: Convert to fraction form
    1,935.54/2,905.32 = 962.36/x
  3. Step 3: Cross multiply
    1,935.54x = 2,905.32 × 962.36
  4. Step 4: Simplify right side
    1,935.54x = 2,795,963.76
  5. Step 5: Solve for x
    x = 2,795,963.76/1,935.54
  6. Step 6: Final answer
    x = 1,444.54

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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.