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Finding the Fourth Proportional to 2,596.92, 3,894.16 and 952.32

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Solution

The fourth proportional to 2,596.92, 3,894.16 and 952.32 is: 1,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.92 : 3,894.16 = 952.32 : x
  2. Step 2: Convert to fraction form
    2,596.92/3,894.16 = 952.32/x
  3. Step 3: Cross multiply
    2,596.92x = 3,894.16 × 952.32
  4. Step 4: Simplify right side
    2,596.92x = 3,708,486.45
  5. Step 5: Solve for x
    x = 3,708,486.45/2,596.92
  6. Step 6: Final answer
    x = 1,428.03

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1.5x scale

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.