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Finding the Fourth Proportional to 2,525.84, 3,784.58 and 1,538.92

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Solution

The fourth proportional to 2,525.84, 3,784.58 and 1,538.92 is: 2,305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.84 : 3,784.58 = 1,538.92 : x
  2. Step 2: Convert to fraction form
    2,525.84/3,784.58 = 1,538.92/x
  3. Step 3: Cross multiply
    2,525.84x = 3,784.58 × 1,538.92
  4. Step 4: Simplify right side
    2,525.84x = 5,824,165.85
  5. Step 5: Solve for x
    x = 5,824,165.85/2,525.84
  6. Step 6: Final answer
    x = 2,305.83

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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.