Home / 1,654.46-2,485.38-962.84

Finding the Fourth Proportional to 1,654.46, 2,485.38 and 962.84

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Solution

The fourth proportional to 1,654.46, 2,485.38 and 962.84 is: 1,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.46 : 2,485.38 = 962.84 : x
  2. Step 2: Convert to fraction form
    1,654.46/2,485.38 = 962.84/x
  3. Step 3: Cross multiply
    1,654.46x = 2,485.38 × 962.84
  4. Step 4: Simplify right side
    1,654.46x = 2,393,023.28
  5. Step 5: Solve for x
    x = 2,393,023.28/1,654.46
  6. Step 6: Final answer
    x = 1,446.41

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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.