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Finding the Fourth Proportional to 2,932.33, 4,398.60 and 957.95

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Solution

The fourth proportional to 2,932.33, 4,398.60 and 957.95 is: 1,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.33 : 4,398.60 = 957.95 : x
  2. Step 2: Convert to fraction form
    2,932.33/4,398.60 = 957.95/x
  3. Step 3: Cross multiply
    2,932.33x = 4,398.60 × 957.95
  4. Step 4: Simplify right side
    2,932.33x = 4,213,649.34
  5. Step 5: Solve for x
    x = 4,213,649.34/2,932.33
  6. Step 6: Final answer
    x = 1,436.96

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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.