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Finding the Fourth Proportional to 2,596.03, 3,894.62 and 841.14

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Solution

The fourth proportional to 2,596.03, 3,894.62 and 841.14 is: 1,261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.03 : 3,894.62 = 841.14 : x
  2. Step 2: Convert to fraction form
    2,596.03/3,894.62 = 841.14/x
  3. Step 3: Cross multiply
    2,596.03x = 3,894.62 × 841.14
  4. Step 4: Simplify right side
    2,596.03x = 3,275,916.46
  5. Step 5: Solve for x
    x = 3,275,916.46/2,596.03
  6. Step 6: Final answer
    x = 1,261.90

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Similar ratio
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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.