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Finding the Fourth Proportional to 1,972.08, 2,957.64 and 739.50

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Solution

The fourth proportional to 1,972.08, 2,957.64 and 739.50 is: 1,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.08 : 2,957.64 = 739.50 : x
  2. Step 2: Convert to fraction form
    1,972.08/2,957.64 = 739.50/x
  3. Step 3: Cross multiply
    1,972.08x = 2,957.64 × 739.50
  4. Step 4: Simplify right side
    1,972.08x = 2,187,174.78
  5. Step 5: Solve for x
    x = 2,187,174.78/1,972.08
  6. Step 6: Final answer
    x = 1,109.07

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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.