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Finding the Fourth Proportional to 1,973.29, 2,957.86 and 656.69

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Solution

The fourth proportional to 1,973.29, 2,957.86 and 656.69 is: 984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.29 : 2,957.86 = 656.69 : x
  2. Step 2: Convert to fraction form
    1,973.29/2,957.86 = 656.69/x
  3. Step 3: Cross multiply
    1,973.29x = 2,957.86 × 656.69
  4. Step 4: Simplify right side
    1,973.29x = 1,942,397.08
  5. Step 5: Solve for x
    x = 1,942,397.08/1,973.29
  6. Step 6: Final answer
    x = 984.34

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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.