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Finding the Fourth Proportional to 2,932.25, 4,397.26 and 957.40

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Solution

The fourth proportional to 2,932.25, 4,397.26 and 957.40 is: 1,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.25 : 4,397.26 = 957.40 : x
  2. Step 2: Convert to fraction form
    2,932.25/4,397.26 = 957.40/x
  3. Step 3: Cross multiply
    2,932.25x = 4,397.26 × 957.40
  4. Step 4: Simplify right side
    2,932.25x = 4,209,949.87
  5. Step 5: Solve for x
    x = 4,209,949.87/2,932.25
  6. Step 6: Final answer
    x = 1,435.74

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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.