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Finding the Fourth Proportional to 1,971.64, 2,957.97 and 739.14

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Solution

The fourth proportional to 1,971.64, 2,957.97 and 739.14 is: 1,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.64 : 2,957.97 = 739.14 : x
  2. Step 2: Convert to fraction form
    1,971.64/2,957.97 = 739.14/x
  3. Step 3: Cross multiply
    1,971.64x = 2,957.97 × 739.14
  4. Step 4: Simplify right side
    1,971.64x = 2,186,358.11
  5. Step 5: Solve for x
    x = 2,186,358.11/1,971.64
  6. Step 6: Final answer
    x = 1,108.90

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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.