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Finding the Fourth Proportional to 2,654.01, 3,981.11 and 706.22

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Solution

The fourth proportional to 2,654.01, 3,981.11 and 706.22 is: 1,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.01 : 3,981.11 = 706.22 : x
  2. Step 2: Convert to fraction form
    2,654.01/3,981.11 = 706.22/x
  3. Step 3: Cross multiply
    2,654.01x = 3,981.11 × 706.22
  4. Step 4: Simplify right side
    2,654.01x = 2,811,516.07
  5. Step 5: Solve for x
    x = 2,811,516.07/2,654.01
  6. Step 6: Final answer
    x = 1,059.35

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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.