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Finding the Fourth Proportional to 2,654.72, 3,982.08 and 706.93

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Solution

The fourth proportional to 2,654.72, 3,982.08 and 706.93 is: 1,060.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.72 : 3,982.08 = 706.93 : x
  2. Step 2: Convert to fraction form
    2,654.72/3,982.08 = 706.93/x
  3. Step 3: Cross multiply
    2,654.72x = 3,982.08 × 706.93
  4. Step 4: Simplify right side
    2,654.72x = 2,815,051.81
  5. Step 5: Solve for x
    x = 2,815,051.81/2,654.72
  6. Step 6: Final answer
    x = 1,060.40

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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.