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Finding the Fourth Proportional to 1,523.92, 2,102.94 and 934.36

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Solution

The fourth proportional to 1,523.92, 2,102.94 and 934.36 is: 1,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.92 : 2,102.94 = 934.36 : x
  2. Step 2: Convert to fraction form
    1,523.92/2,102.94 = 934.36/x
  3. Step 3: Cross multiply
    1,523.92x = 2,102.94 × 934.36
  4. Step 4: Simplify right side
    1,523.92x = 1,964,903.02
  5. Step 5: Solve for x
    x = 1,964,903.02/1,523.92
  6. Step 6: Final answer
    x = 1,289.37

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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.