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Finding the Fourth Proportional to 2,596.30, 3,893.88 and 841.46

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Solution

The fourth proportional to 2,596.30, 3,893.88 and 841.46 is: 1,262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.30 : 3,893.88 = 841.46 : x
  2. Step 2: Convert to fraction form
    2,596.30/3,893.88 = 841.46/x
  3. Step 3: Cross multiply
    2,596.30x = 3,893.88 × 841.46
  4. Step 4: Simplify right side
    2,596.30x = 3,276,544.26
  5. Step 5: Solve for x
    x = 3,276,544.26/2,596.30
  6. Step 6: Final answer
    x = 1,262.01

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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.