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Finding the Fourth Proportional to 1,577.92, 2,177.92 and 957.44

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Solution

The fourth proportional to 1,577.92, 2,177.92 and 957.44 is: 1,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.92 : 2,177.92 = 957.44 : x
  2. Step 2: Convert to fraction form
    1,577.92/2,177.92 = 957.44/x
  3. Step 3: Cross multiply
    1,577.92x = 2,177.92 × 957.44
  4. Step 4: Simplify right side
    1,577.92x = 2,085,227.72
  5. Step 5: Solve for x
    x = 2,085,227.72/1,577.92
  6. Step 6: Final answer
    x = 1,321.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.