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Finding the Fourth Proportional to 1,971.02, 2,957.67 and 739.28

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Solution

The fourth proportional to 1,971.02, 2,957.67 and 739.28 is: 1,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.02 : 2,957.67 = 739.28 : x
  2. Step 2: Convert to fraction form
    1,971.02/2,957.67 = 739.28/x
  3. Step 3: Cross multiply
    1,971.02x = 2,957.67 × 739.28
  4. Step 4: Simplify right side
    1,971.02x = 2,186,551.82
  5. Step 5: Solve for x
    x = 2,186,551.82/1,971.02
  6. Step 6: Final answer
    x = 1,109.35

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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.