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Finding the Fourth Proportional to 2,932.80, 4,398.93 and 985.02

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Solution

The fourth proportional to 2,932.80, 4,398.93 and 985.02 is: 1,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.80 : 4,398.93 = 985.02 : x
  2. Step 2: Convert to fraction form
    2,932.80/4,398.93 = 985.02/x
  3. Step 3: Cross multiply
    2,932.80x = 4,398.93 × 985.02
  4. Step 4: Simplify right side
    2,932.80x = 4,333,034.03
  5. Step 5: Solve for x
    x = 4,333,034.03/2,932.80
  6. Step 6: Final answer
    x = 1,477.44

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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.