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Finding the Fourth Proportional to 2,525.92, 3,787.36 and 966.04

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Solution

The fourth proportional to 2,525.92, 3,787.36 and 966.04 is: 1,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.92 : 3,787.36 = 966.04 : x
  2. Step 2: Convert to fraction form
    2,525.92/3,787.36 = 966.04/x
  3. Step 3: Cross multiply
    2,525.92x = 3,787.36 × 966.04
  4. Step 4: Simplify right side
    2,525.92x = 3,658,740.81
  5. Step 5: Solve for x
    x = 3,658,740.81/2,525.92
  6. Step 6: Final answer
    x = 1,448.48

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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.