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Finding the Fourth Proportional to 2,971.62, 4,455.93 and 1,739.40

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Solution

The fourth proportional to 2,971.62, 4,455.93 and 1,739.40 is: 2,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.62 : 4,455.93 = 1,739.40 : x
  2. Step 2: Convert to fraction form
    2,971.62/4,455.93 = 1,739.40/x
  3. Step 3: Cross multiply
    2,971.62x = 4,455.93 × 1,739.40
  4. Step 4: Simplify right side
    2,971.62x = 7,750,644.64
  5. Step 5: Solve for x
    x = 7,750,644.64/2,971.62
  6. Step 6: Final answer
    x = 2,608.22

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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.